Journal articles on the topic 'Dimension de Gelfand-Kirillov'
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Zhang, Yang, and Xiangui Zhao. "Gelfand–Kirillov dimension of differential difference algebras." LMS Journal of Computation and Mathematics 17, no. 1 (2014): 485–95. http://dx.doi.org/10.1112/s1461157014000102.
Full textBERGEN, JEFFREY, and PIOTR GRZESZCZUK. "GK DIMENSION AND LOCALLY NILPOTENT SKEW DERIVATIONS." Glasgow Mathematical Journal 57, no. 3 (December 18, 2014): 555–67. http://dx.doi.org/10.1017/s0017089514000482.
Full textLezama, Oswaldo, and Helbert Venegas. "Gelfand–Kirillov dimension for rings." São Paulo Journal of Mathematical Sciences 14, no. 1 (April 24, 2020): 207–22. http://dx.doi.org/10.1007/s40863-020-00166-4.
Full textCENTRONE, LUCIO. "A NOTE ON GRADED GELFAND–KIRILLOV DIMENSION OF GRADED ALGEBRAS." Journal of Algebra and Its Applications 10, no. 05 (October 2011): 865–89. http://dx.doi.org/10.1142/s0219498811004987.
Full textBell, Jason P., T. H. Lenagan, and Kulumani M. Rangaswamy. "Leavitt path algebras satisfying a polynomial identity." Journal of Algebra and Its Applications 15, no. 05 (March 30, 2016): 1650084. http://dx.doi.org/10.1142/s0219498816500845.
Full textZhao, Xiangui, and Yang Zhang. "Gelfand-Kirillov Dimensions of Modules over Differential Difference Algebras." Algebra Colloquium 23, no. 04 (September 26, 2016): 701–20. http://dx.doi.org/10.1142/s1005386716000596.
Full textMoreno-Fernández, José M., and Mercedes Siles Molina. "Graph algebras and the Gelfand–Kirillov dimension." Journal of Algebra and Its Applications 17, no. 05 (April 26, 2018): 1850095. http://dx.doi.org/10.1142/s0219498818500950.
Full textMartinez, C. "Gelfand-Kirillov dimension in Jordan Algebras." Transactions of the American Mathematical Society 348, no. 1 (1996): 119–26. http://dx.doi.org/10.1090/s0002-9947-96-01528-0.
Full textSmith, S. Paul, and James J. Zhang. "A remark on Gelfand-Kirillov dimension." Proceedings of the American Mathematical Society 126, no. 2 (1998): 349–52. http://dx.doi.org/10.1090/s0002-9939-98-04074-x.
Full textLeroy, A., and I. Matczuk. "Gelfand-Kirillov dimension of certain localizations." Archiv der Mathematik 53, no. 5 (November 1989): 439–47. http://dx.doi.org/10.1007/bf01324719.
Full textALAHMADI, ADEL, HAMED ALSULAMI, S. K. JAIN, and EFIM ZELMANOV. "LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION." Journal of Algebra and Its Applications 11, no. 06 (November 14, 2012): 1250225. http://dx.doi.org/10.1142/s0219498812502258.
Full textTorrecillas, José Gómez. "Gelfand-Kirillov dimension of multi-filtered algebras." Proceedings of the Edinburgh Mathematical Society 42, no. 1 (February 1999): 155–68. http://dx.doi.org/10.1017/s0013091500020083.
Full textBueso, José L., F. J. Castro Jiménez, and Pascual Jara. "Effective computation of the Gelfand-Kirillov dimension." Proceedings of the Edinburgh Mathematical Society 40, no. 1 (February 1997): 111–17. http://dx.doi.org/10.1017/s0013091500023476.
Full textKobayashi, Shigeru, and Yuji Kobayashi. "On Algebras With Gelfand-Kirillov Dimension One." Proceedings of the American Mathematical Society 119, no. 4 (December 1993): 1095. http://dx.doi.org/10.2307/2159971.
Full textZhang, Yang, and Xiangui Zhao. "Gelfand-Kirillov dimension of differential difference algebras." ACM Communications in Computer Algebra 49, no. 1 (June 10, 2015): 32. http://dx.doi.org/10.1145/2768577.2768642.
Full textBell, Jason P. "Simple algebras of Gelfand-Kirillov dimension two." Proceedings of the American Mathematical Society 137, no. 03 (October 15, 2008): 877–83. http://dx.doi.org/10.1090/s0002-9939-08-09724-4.
Full textRiley, David, and Hamid Usefi. "Lie algebras with finite Gelfand-Kirillov dimension." Proceedings of the American Mathematical Society 133, no. 6 (January 13, 2005): 1569–72. http://dx.doi.org/10.1090/s0002-9939-05-07618-5.
Full textLorenz, Martin. "On Gelfand-Kirillov dimension and related topics." Journal of Algebra 118, no. 2 (November 1988): 423–37. http://dx.doi.org/10.1016/0021-8693(88)90031-2.
Full textMcConnell, J. C., and J. T. Stafford. "Gelfand-Kirillov dimension and associated graded modules." Journal of Algebra 125, no. 1 (August 1989): 197–214. http://dx.doi.org/10.1016/0021-8693(89)90301-3.
Full textChirvasitu, Alexandru, Chelsea Walton, and Xingting Wang. "Gelfand-Kirillov dimension of cosemisimple Hopf algebras." Proceedings of the American Mathematical Society 147, no. 11 (June 10, 2019): 4665–72. http://dx.doi.org/10.1090/proc/14616.
Full textWu, Quanshui. "Gelfand-Kirillov dimension under base field extension." Israel Journal of Mathematics 73, no. 3 (October 1991): 289–96. http://dx.doi.org/10.1007/bf02773842.
Full textOkninski, J. "Gelfand-Kirillov Dimension of Noetherian Semigroup Algebras." Journal of Algebra 162, no. 2 (December 1993): 302–16. http://dx.doi.org/10.1006/jabr.1993.1255.
Full textMartinez, C., and E. Zelmanov. "Jordan Algebras of Gelfand–Kirillov Dimension One." Journal of Algebra 180, no. 1 (February 1996): 211–38. http://dx.doi.org/10.1006/jabr.1996.0063.
Full textVishne, Uzi. "Primitive Algebras with Arbitrary Gelfand-Kirillov Dimension." Journal of Algebra 211, no. 1 (January 1999): 150–58. http://dx.doi.org/10.1006/jabr.1998.7567.
Full textMartínez-Villa, Roberto, and Øyvind Solberg. "Noetherianity and Gelfand–Kirillov dimension of components." Journal of Algebra 323, no. 5 (March 2010): 1369–407. http://dx.doi.org/10.1016/j.jalgebra.2009.12.013.
Full textLenagan, T. H., Agata Smoktunowicz, and Alexander A. Young. "Nil algebras with restricted growth." Proceedings of the Edinburgh Mathematical Society 55, no. 2 (February 23, 2012): 461–75. http://dx.doi.org/10.1017/s0013091510001100.
Full textCEDÓ, FERRAN, ERIC JESPERS, and JAN OKNIŃSKI. "SEMIPRIME QUADRATIC ALGEBRAS OF GELFAND–KIRILLOV DIMENSION ONE." Journal of Algebra and Its Applications 03, no. 03 (September 2004): 283–300. http://dx.doi.org/10.1142/s0219498804000848.
Full textCentrone, Lucio. "ℤ2-Graded Gelfand–Kirillov dimension of the Grassmann algebra." International Journal of Algebra and Computation 24, no. 03 (May 2014): 365–74. http://dx.doi.org/10.1142/s0218196714500167.
Full textBell, Jason P. "Centralizers in domains of finite Gelfand-Kirillov dimension." Bulletin of the London Mathematical Society 41, no. 3 (April 28, 2009): 559–62. http://dx.doi.org/10.1112/blms/bdp039.
Full textWang, D. G., J. J. Zhang, and G. Zhuang. "Connected Hopf algebras of Gelfand-Kirillov dimension four." Transactions of the American Mathematical Society 367, no. 8 (February 3, 2015): 5597–632. http://dx.doi.org/10.1090/s0002-9947-2015-06219-9.
Full textBELL, JASON P., and LANCE W. SMALL. "CENTRALIZERS IN DOMAINS OF GELFAND–KIRILLOV DIMENSION 2." Bulletin of the London Mathematical Society 36, no. 06 (October 19, 2004): 779–85. http://dx.doi.org/10.1112/s0024609304003534.
Full textChakraborty, Partha Sarathi, and Bipul Saurabh. "Gelfand–Kirillov dimension of some simple unitarizable modules." Journal of Algebra 514 (November 2018): 199–218. http://dx.doi.org/10.1016/j.jalgebra.2018.08.007.
Full textCui, Ranran, and Yanfeng Luo. "Gelfand-Kirillov dimension of some primitive abundant semigroups." Indian Journal of Pure and Applied Mathematics 44, no. 6 (December 2013): 809–22. http://dx.doi.org/10.1007/s13226-013-0044-5.
Full textBell, Allen D., and Gunnar Sigurdsson. "Catenarity and Gelfand-Kirillov dimension in Ore extensions." Journal of Algebra 127, no. 2 (December 1989): 409–25. http://dx.doi.org/10.1016/0021-8693(89)90261-5.
Full textIyudu, Natalia K., and Susan J. Sierra. "Enveloping algebras with just infinite Gelfand–Kirillov dimension." Arkiv för Matematik 58, no. 2 (2020): 285–306. http://dx.doi.org/10.4310/arkiv.2020.v58.n2.a4.
Full textSamet-Vaillant, A. Y. "C*-Algebras, Gelfand–Kirillov Dimension, and Følner Sets." Journal of Functional Analysis 171, no. 2 (March 2000): 346–65. http://dx.doi.org/10.1006/jfan.1999.3525.
Full textAndruskiewitsch, Nicolás, Iván Angiono, and István Heckenberger. "Liftings of Jordan and Super Jordan Planes." Proceedings of the Edinburgh Mathematical Society 61, no. 3 (April 12, 2018): 661–72. http://dx.doi.org/10.1017/s0013091517000402.
Full textNekrashevych, Volodymyr. "Growth of étale groupoids and simple algebras." International Journal of Algebra and Computation 26, no. 02 (March 2016): 375–97. http://dx.doi.org/10.1142/s0218196716500156.
Full textSmall, L. W., J. T. Stafford, and R. B. Warfield. "Affine algebras of Gelfand-Kirillov dimension one are PI." Mathematical Proceedings of the Cambridge Philosophical Society 97, no. 3 (May 1985): 407–14. http://dx.doi.org/10.1017/s0305004100062976.
Full textGOODEARL, K. R., and J. J. ZHANG. "NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO." Glasgow Mathematical Journal 59, no. 3 (March 20, 2017): 563–93. http://dx.doi.org/10.1017/s0017089516000410.
Full textSMOKTUNOWICZ, AGATA. "GK–DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS." Glasgow Mathematical Journal 51, no. 2 (May 2009): 253–56. http://dx.doi.org/10.1017/s0017089508004667.
Full textBueso, J. L., J. Gómez-Torrecillas, and F. J. Lobillo. "Re-filtering and exactness of the Gelfand–Kirillov dimension." Bulletin des Sciences Mathématiques 125, no. 8 (November 2001): 689–715. http://dx.doi.org/10.1016/s0007-4497(01)01090-9.
Full textFerraro, Luigi, Jason Gaddis, and Robert Won. "Simple Z-graded domains of Gelfand–Kirillov dimension two." Journal of Algebra 562 (November 2020): 433–65. http://dx.doi.org/10.1016/j.jalgebra.2020.06.030.
Full textBeaulieu, R. A., A. Jensen, and S. Jøndrup. "Towards a more general notion of Gelfand-Kirillov dimension." Israel Journal of Mathematics 93, no. 1 (December 1996): 73–92. http://dx.doi.org/10.1007/bf02761094.
Full textBergen, Jeffrey, and Piotr Grzeszczuk. "Gelfand-Kirillov dimension of algebras with locally nilpotent derivations." Israel Journal of Mathematics 206, no. 1 (February 2015): 313–25. http://dx.doi.org/10.1007/s11856-015-1152-1.
Full textCentrone, Lucio. "The graded Gelfand--Kirillov dimension of verbally prime algebras." Linear and Multilinear Algebra 59, no. 12 (December 2011): 1433–50. http://dx.doi.org/10.1080/03081087.2011.559636.
Full textGoodearl, K. R., and J. J. Zhang. "Noetherian Hopf algebra domains of Gelfand–Kirillov dimension two." Journal of Algebra 324, no. 11 (December 2010): 3131–68. http://dx.doi.org/10.1016/j.jalgebra.2009.11.001.
Full textGUPTA, ASHISH. "MODULES OVER QUANTUM LAURENT POLYNOMIALS." Journal of the Australian Mathematical Society 91, no. 3 (December 2011): 323–41. http://dx.doi.org/10.1017/s1446788712000031.
Full textPreusser, Raimund. "The Gelfand–Kirillov dimension of a weighted Leavitt path algebra." Journal of Algebra and Its Applications 19, no. 03 (March 15, 2019): 2050059. http://dx.doi.org/10.1142/s0219498820500590.
Full textLenagan, T. H., and Agata Smoktunowicz. "An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension." Journal of the American Mathematical Society 20, no. 04 (October 1, 2007): 989–1002. http://dx.doi.org/10.1090/s0894-0347-07-00565-6.
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