Relevant bibliographies by topics / Pure-semisimple rings

Academic literature on the topic 'Pure-semisimple rings'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Pure-semisimple rings"

1

Wisbauer, Robert. "Semisimple and pure semisimple functor rings." Communications in Algebra 18, no. 7 (January 1, 1990): 2343–54. http://dx.doi.org/10.1080/00927879008824024.

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2

Prest, Mike. "Duality and Pure-Semisimple Rings." Journal of the London Mathematical Society s2-38, no. 3 (December 1988): 403–9. http://dx.doi.org/10.1112/jlms/s2-38.3.403.

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3

Mazari-Armida, Marcos. "Superstability, noetherian rings and pure-semisimple rings." Annals of Pure and Applied Logic 172, no. 3 (March 2021): 102917. http://dx.doi.org/10.1016/j.apal.2020.102917.

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4

DUNG, NGUYEN VIET, and JOSÉ LUIS GARCÍA. "DEFINABLE SUBCATEGORIES OVER PURE SEMISIMPLE RINGS." Journal of Algebra and Its Applications 11, no. 05 (September 26, 2012): 1250099. http://dx.doi.org/10.1142/s0219498812500995.

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Abstract:
Let R be a right pure semisimple ring, and [Formula: see text] be a family of sources of left almost split morphisms in mod-R. We study the definable subcategory [Formula: see text] in Mod-R determined by the family [Formula: see text], and show that [Formula: see text] has several nice properties similar to those of the category Mod-R. For example, its functor category [Formula: see text] is a module category, and preinjective objects of [Formula: see text] are sources of left almost split morphisms in [Formula: see text] and in mod-R. As an application, it is shown that if R is a right pure semisimple ring with no nonzero homomorphisms from preinjective modules to non-preinjective indecomposable modules in mod-R (in particular, if R is right pure semisimple hereditary), then any definable subcategory of Mod-R determined by a finite set of indecomposable right R-modules contains only finitely many non-isomorphic indecomposable modules.
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5

Dung, Nguyen Viet, and José Luis García. "Preinjective modules over pure semisimple rings." Journal of Pure and Applied Algebra 212, no. 5 (May 2008): 1207–21. http://dx.doi.org/10.1016/j.jpaa.2007.09.006.

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Dung, Nguyen Viet, and José Luis García. "Endofinite modules and pure semisimple rings." Journal of Algebra 289, no. 2 (July 2005): 574–93. http://dx.doi.org/10.1016/j.jalgebra.2005.01.004.

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Fernández-Alonso, Rogelio, and Eder S. Martelo. "Preradicals over left pure semisimple hereditary rings." Communications in Algebra 49, no. 7 (March 11, 2021): 3145–60. http://dx.doi.org/10.1080/00927872.2021.1888963.

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8

Zayed, Maher. "Indecomposable modules over right pure semisimple rings." Monatshefte f�r Mathematik 105, no. 2 (June 1988): 165–70. http://dx.doi.org/10.1007/bf01501169.

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9

Dung, Nguyen Viet, and José Luis García. "Splitting torsion pairs over pure semisimple rings." Journal of Pure and Applied Algebra 219, no. 7 (July 2015): 2637–57. http://dx.doi.org/10.1016/j.jpaa.2014.09.020.

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10

Dung, Nguyen Viet, and José Luis García. "Indecomposable modules over pure semisimple hereditary rings." Journal of Algebra 371 (December 2012): 577–95. http://dx.doi.org/10.1016/j.jalgebra.2012.09.004.

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Book chapters on the topic "Pure-semisimple rings"

1

Simson, Daniel. "Dualities and Pure Semisimple Rings." In abelian groups, module theory, and topology, 381–88. CRC Press, 2019. http://dx.doi.org/10.1201/9780429187605-33.

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