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Journal articles on the topic 'Locally finite'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 February 2022

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1

Marcelino, Sérgio, and Umberto Rivieccio. "Locally Tabular $$\ne $$ ≠ Locally Finite." Logica Universalis 11, no. 3 (July 17, 2017): 383–400. http://dx.doi.org/10.1007/s11787-017-0174-3.

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2

Finkel, Olivier. "Locally finite languages." Theoretical Computer Science 255, no. 1-2 (March 2001): 223–61. http://dx.doi.org/10.1016/s0304-3975(99)00286-8.

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3

Mycielski, Jan. "Locally finite theories." Journal of Symbolic Logic 51, no. 1 (March 1986): 59–62. http://dx.doi.org/10.2307/2273942.

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We say that a first order theoryTislocally finiteif every finite part ofThas a finite model. It is the purpose of this paper to construct in a uniform way for any consistent theoryTa locally finite theory FIN(T) which is syntactically (in a sense) isomorphic toT.Our construction draws upon the main idea of Paris and Harrington [6] (I have been influenced by some unpublished notes of Silver [7] on this subject) and generalizes the syntactic aspect of their result from arithmetic to arbitrary theories. (Our proof is syntactic, and it is simpler than the proofs of [5], [6] and [7]. This reminds me of the simple syntactic proofs of several variants of the Craig-Lyndon interpolation theorem, which seem more natural than the semantic proofs.)The first mathematically strong locally finite theory, called FIN, was defined in [1] (see also [2]). Now we get much stronger ones, e.g. FIN(ZF).From a physicalistic point of view the theorems of ZF and their FIN(ZF)-counterparts may have the same meaning. Therefore FIN(ZF) is a solution of Hilbert's second problem. It eliminates ideal (infinite) objects from the proofs of properties of concrete (finite) objects.In [4] we will demonstrate that one can develop a direct finitistic intuition that FIN(ZF) is locally finite. We will also prove a variant of Gödel's second incompleteness theorem for the theory FIN and for all its primitively recursively axiomatizable consistent extensions.The results of this paper were announced in [3].
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4

Bezhanishvili, Guram. "Locally finite varieties." Algebra Universalis 46, no. 4 (November 2001): 531–48. http://dx.doi.org/10.1007/pl00000358.

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5

Zelinka, Bohdan. "Spanning trees of locally finite graphs." Czechoslovak Mathematical Journal 39, no. 2 (1989): 193–97. http://dx.doi.org/10.21136/cmj.1989.102294.

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6

Conrad, Paul F., and Jorge Martinez. "Locally finite conditions on lattice-ordered groups." Czechoslovak Mathematical Journal 39, no. 3 (1989): 432–44. http://dx.doi.org/10.21136/cmj.1989.102314.

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7

Mekei, A., and R. Wisbauer. "On Locally Finite Modules." Journal of Mathematical Sciences 131, no. 6 (December 2005): 6083–97. http://dx.doi.org/10.1007/s10958-005-0462-y.

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8

Li, Cai Heng, Cheryl E. Praeger, Akshay Venkatesh, and Sanming Zhou. "Finite locally-quasiprimitive graphs." Discrete Mathematics 246, no. 1-3 (March 2002): 197–218. http://dx.doi.org/10.1016/s0012-365x(01)00258-8.

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9

Furter, Jean-Philippe, and Stefan Maubach. "Locally finite polynomial endomorphisms." Journal of Pure and Applied Algebra 211, no. 2 (November 2007): 445–58. http://dx.doi.org/10.1016/j.jpaa.2007.02.005.

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10

Yousofzadeh, Malihe. "Locally finite root supersystems." Communications in Algebra 45, no. 10 (December 2016): 4292–320. http://dx.doi.org/10.1080/00927872.2016.1262390.

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11

Lemieux, Stéphane. "Locally Finite-Indicable Groups." Communications in Algebra 35, no. 10 (September 21, 2007): 3195–98. http://dx.doi.org/10.1080/00914030701410021.

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12

Song, Shujiao, Caiheng Li, and Dianjun Wang. "Finite Locally-quasiprimitive Graphs." Algebra Colloquium 21, no. 04 (October 6, 2014): 627–34. http://dx.doi.org/10.1142/s1005386714000571.

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A graph 𝛤 is called G-locally-quasiprimitive if each normal subgroup of Gv acts on 𝛤(v) trivially or transitively for every vertex v. In this paper we analyse the global action and the structural information of such groups G, extending the previous results for locally-primitive graphs and vertex-transitive locally-quasiprimitive graphs.
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13

Loos, Ottmar, and Erhard Neher. "Locally finite root systems." Memoirs of the American Mathematical Society 171, no. 811 (2004): 0. http://dx.doi.org/10.1090/memo/0811.

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14

Willard, Ross. "Homogeneous locally finite varieties." Algebra Universalis 29, no. 2 (June 1992): 300–301. http://dx.doi.org/10.1007/bf01190611.

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15

Hedman, Shawn, and Wai Yan Pong. "Locally finite homogeneous graphs." Combinatorica 30, no. 4 (July 2010): 419–34. http://dx.doi.org/10.1007/s00493-010-2472-8.

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16

Dobrowolski, Jan, and Krzysztof Krupiński. "Locally finite profinite rings." Journal of Algebra 401 (March 2014): 161–78. http://dx.doi.org/10.1016/j.jalgebra.2013.11.020.

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17

Xiao, Jie, and Bin Zhu. "Locally finite triangulated categories." Journal of Algebra 290, no. 2 (August 2005): 473–90. http://dx.doi.org/10.1016/j.jalgebra.2005.05.011.

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18

Isbell, John. "Locally finite adequate subcategories." Journal of Pure and Applied Algebra 36 (1985): 219–20. http://dx.doi.org/10.1016/0022-4049(85)90073-8.

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19

Jung, H. A., and M. E. Watkins. "Finite Separating Sets in Locally Finite Graphs." Journal of Combinatorial Theory, Series B 59, no. 1 (September 1993): 15–25. http://dx.doi.org/10.1006/jctb.1993.1050.

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20

Borovik, Alexandre, and Ulla Karhumäki. "Locally finite groups of finite centralizer dimension." Journal of Group Theory 22, no. 4 (July 1, 2019): 729–40. http://dx.doi.org/10.1515/jgth-2018-0109.

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21

WESOLEK, PHILLIP. "Totally disconnected locally compact groups locally of finite rank." Mathematical Proceedings of the Cambridge Philosophical Society 158, no. 3 (March 13, 2015): 505–30. http://dx.doi.org/10.1017/s0305004115000122.

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AbstractWe study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-π compact open subgroup for some finite set of primes π are virtually an extension of a finite direct product of topologically simple groups by an elementary group. This result, in particular, applies to l.c.s.c. p-adic Lie groups. We go on to obtain a decomposition result for all t.d.l.c.s.c. groups containing a compact open subgroup with finite rank. In the course of proving these theorems, we demonstrate independently interesting structure results for t.d.l.c.s.c. groups with a compact open pro-nilpotent subgroup and for topologically simple l.c.s.c. p-adic Lie groups.
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22

HENRY, SIMON. "On toposes generated by cardinal finite objects." Mathematical Proceedings of the Cambridge Philosophical Society 165, no. 2 (May 23, 2017): 209–23. http://dx.doi.org/10.1017/s0305004117000408.

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AbstractWe give a characterisations of toposes which admit a generating set of objects which are internally cardinal finite (i.e. Kuratowski finite and decidable) in terms of “topological” conditions. The central result is that, constructively, a hyperconnected separated locally decidable topos admit a generating set of cardinal finite objects. The main theorem is then a generalisation obtained as an application of this result internally in the localic reflection of an arbitrary topos: a topos is generated by cardinal finite objects if and only if it is separated, locally decidable, and its localic reflection is zero dimensional.
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23

Bermúdez, Teresa, and Antonio Martinón. "Chain-finite operators and locally chain-finite operators." Glasgow Mathematical Journal 43, no. 1 (January 2001): 113–21. http://dx.doi.org/10.1017/s0017089501010096.

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We give algebraic conditions characterizing chain-finite operators and locally chain-finite operators on Banach spaces. For instance, it is shown that T is a chain-finite operator if and only if some power of T is relatively regular and commutes with some generalized inverse; that is there are a bounded linear operator B and a positive integer k such that TkBTk =Tk and TkB=BTk. Moreover, we obtain an algebraic characterization of locally chain-finite operators similar to (1).
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24

Ersoy, Kıvanc̣, and Chander Kanta Gupta. "Locally Finite Groups with Centralizers of Finite Rank." Communications in Algebra 44, no. 12 (July 6, 2016): 5074–87. http://dx.doi.org/10.1080/00927872.2015.1130146.

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25

Imrich, Wilfried, and Sandi Klavžar. "Transitive, Locally Finite Median Graphs with Finite Blocks." Graphs and Combinatorics 25, no. 1 (May 2009): 81–90. http://dx.doi.org/10.1007/s00373-008-0828-2.

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26

Belyaev, V. V. "Locally finite groups containing a finite inseparable subgroup." Siberian Mathematical Journal 34, no. 2 (1992): 218–32. http://dx.doi.org/10.1007/bf00970947.

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27

Dixon, Martyn R., Martin J. Evans, and Howard Smith. "Locally (Soluble-by-Finite) Groups of Finite Rank." Journal of Algebra 182, no. 3 (June 1996): 756–69. http://dx.doi.org/10.1006/jabr.1996.0200.

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28

Höfling, Burkhard. "Subgroups of locally finite products of locally nilpotent groups." Glasgow Mathematical Journal 41, no. 3 (October 1999): 323–43. http://dx.doi.org/10.1017/s0017089599000294.

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29

Franciosi, Silvana, Francesco de Giovanni, and Yaroslav P. Sysak. "On locally finite groups factorized by locally nilpotent subgroups." Journal of Pure and Applied Algebra 106, no. 1 (January 1996): 45–56. http://dx.doi.org/10.1016/0022-4049(95)00004-6.

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30

Santos Filho, G., L. Murakami, and I. Shestakov. "Locally finite coalgebras and the locally nilpotent radical I." Linear Algebra and its Applications 621 (July 2021): 235–53. http://dx.doi.org/10.1016/j.laa.2021.03.023.

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31

Schmidt-steup, Monika. "Infinite locally finite hypohamiltonian graphs." MATHEMATICA SCANDINAVICA 58 (June 1, 1986): 139. http://dx.doi.org/10.7146/math.scand.a-12136.

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32

Rhemtulla, Akbar, and Howard Smith. "On Infinite Locally Finite Groups." Canadian Mathematical Bulletin 37, no. 4 (December 1, 1994): 537–44. http://dx.doi.org/10.4153/cmb-1994-078-5.

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AbstractIf G is a group such that every infinite subset of G contains a commuting pair of elements then G is centre-by-finite. This result is due to B. H. Neumann. From this it can be shown that if G is infinite and such that for every pair X, Y of infinite subsets of G there is some x in X and some y in Y that commute, then G is abelian. It is natural to ask if results of this type would hold with other properties replacing commutativity. It may well be that group axioms are restrictive enough to provide meaningful affirmative results for most of the properties. We prove the following result which is of similar nature.If G is a group such that for each positive integer n and for every n infinite subset X1,...,Xn of G there exist elements xi of Xii = 1,... ,n, such that the subgroup generated by {x1,... ,xn} is finite, then G is locally finite.
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33

Tucker, Thomas. "Locally finite graphs and embeddings." Electronic Notes in Discrete Mathematics 31 (August 2008): 23–25. http://dx.doi.org/10.1016/j.endm.2008.06.003.

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34

Manuilov, V. "Approximately uniformly locally finite graphs." Linear Algebra and its Applications 569 (May 2019): 146–55. http://dx.doi.org/10.1016/j.laa.2019.01.014.

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35

Kaarli, Kalle. "Locally finite affine complete varieties." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 62, no. 2 (April 1997): 141–59. http://dx.doi.org/10.1017/s1446788700000720.

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AbstractThe main results of the paper are the following: 1. Every locally finite affine complete variety admits a near unanimity term; 2. A locally finite congruence distributive variety is affine complete if and only if all its algebras with no proper subalgebras are affine complete and the variety is generated by one of such algebras. The first of these results sharpens a result of McKenzie asserting that all locally finite affine complete varieties are congruence distributive. The second one generalizes the result by Kaarli and Pixley that characterizes arithmetical affine complete varieties.
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36

Torrecillas, J. Gómez, P. Jara, and L. Merino. "Locally finite representations of algebras∗." Communications in Algebra 24, no. 14 (January 1996): 4581–601. http://dx.doi.org/10.1080/00927879608825832.

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37

Ayaseha, Davood. "Finite dimensional locally convex cones." Filomat 31, no. 16 (2017): 5111–16. http://dx.doi.org/10.2298/fil1716111a.

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We study the locally convex cones which have finite dimension. We introduce the Euclidean convex quasiuniform structure on a finite dimensional cone. In special case of finite dimensional locally convex topological vector spaces, the symmetric topology induced by the Euclidean convex quasiuniform structure reduces to the known concept of Euclidean topology. We prove that the dual of a finite dimensional cone endowed with the Euclidean convex quasiuniform structure is identical with it?s algebraic dual.
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38

Hedman, Shawn, and Wai Yan Pong. "Quantifier-eliminable locally finite graphs." Mathematical Logic Quarterly 57, no. 2 (March 14, 2011): 180–85. http://dx.doi.org/10.1002/malq.200910130.

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39

KUZUCUOGLU, MAHMUT, and PAVEL SHUMYATSKY. "INVOLUTIONS IN LOCALLY FINITE GROUPS." Journal of the London Mathematical Society 69, no. 02 (March 29, 2004): 306–16. http://dx.doi.org/10.1112/s0024610703005015.

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40

Bowler, Nathan, Joshua Erde, Peter Heinig, Florian Lehner, and Max Pitz. "Non-reconstructible locally finite graphs." Journal of Combinatorial Theory, Series B 133 (November 2018): 122–52. http://dx.doi.org/10.1016/j.jctb.2018.04.007.

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41

Gray, Robert, and Rögnvaldur G. Möller. "Locally-finite connected-homogeneous digraphs." Discrete Mathematics 311, no. 15 (August 2011): 1497–517. http://dx.doi.org/10.1016/j.disc.2010.12.017.

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42

Loveys, James. "Locally finite weakly minimal theories." Annals of Pure and Applied Logic 55, no. 2 (December 1991): 153–203. http://dx.doi.org/10.1016/0168-0072(91)90006-8.

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43

Hattab, Hawete, and Ezzeddine Salhi. "Homeomorphisms of Locally Finite Graphs." Qualitative Theory of Dynamical Systems 15, no. 2 (December 21, 2015): 481–90. http://dx.doi.org/10.1007/s12346-015-0182-8.

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44

Costantini, Mauro, and Enrico Jabara. "On locally finite Cpp-groups." Israel Journal of Mathematics 212, no. 1 (January 5, 2016): 123–37. http://dx.doi.org/10.1007/s11856-015-1276-3.

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45

Abrams, G., G. Aranda Pino, and M. Siles Molina. "Locally finite Leavitt path algebras." Israel Journal of Mathematics 165, no. 1 (June 2008): 329–48. http://dx.doi.org/10.1007/s11856-008-1014-1.

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46

Hattab, Hawete. "Flows of locally finite graphs." Bollettino dell'Unione Matematica Italiana 10, no. 4 (November 17, 2016): 671–79. http://dx.doi.org/10.1007/s40574-016-0109-6.

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47

Makhnëv, A. A. "Finite locally-GQ(3,3) graphs." Siberian Mathematical Journal 35, no. 6 (November 1994): 1166–74. http://dx.doi.org/10.1007/bf02104717.

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48

Furter, Jean-Philippe. "Quasi-locally finite polynomial endomorphisms." Mathematische Zeitschrift 263, no. 2 (October 25, 2008): 473–79. http://dx.doi.org/10.1007/s00209-008-0440-4.

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49

Buturlakin, A. A. "The structure of locally finite groups of finite c-dimension." Journal of Algebra and Its Applications 18, no. 12 (November 3, 2019): 1950223. http://dx.doi.org/10.1142/s0219498819502232.

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The [Formula: see text]-dimension of a group is the supremum of lengths of strict nested chains of centralizers. We describe the structure of locally finite groups of finite [Formula: see text]-dimension. We also prove that the [Formula: see text]-dimension of the quotient [Formula: see text] of a locally finite group [Formula: see text] by the locally soluble radical [Formula: see text] is bounded in terms of the [Formula: see text]-dimension of [Formula: see text].
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50

Zelinka, Bohdan. "Algebraic approach to locally finite trees with one end." Mathematica Bohemica 128, no. 1 (2003): 37–44. http://dx.doi.org/10.21136/mb.2003.133934.

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