Quotient rings of graded associative rings. I

被引：0
作者：
I. N. Balaba
A. L. Kanunnikov
A. V. Mikhalev
机构：
[1] L. Tolstoy Tula State Pedagogical University, Tula
[2] Moscow State University, Moscow
来源：
Journal of Mathematical Sciences | 2012年 / 186卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
Prime Ring; Regular Element; Quotient Ring; Semiprime Ring; Extended Centroid;
D O I：
10.1007/s10958-012-1005-y
中图分类号：
学科分类号：
摘要：
This paper contains a review of results on graded quotient rings and new results proved by the authors. © 2012 Springer Science+Business Media New York.
引用
收藏
页码：531 / 577
页数：46
相关论文
共 59 条
  • [1] Amitsur S.A., On rings of quotients, Symp. Math., 8, pp. 149-164, (1972)
  • [2] Aranda Pino G., Siles Molina M., The maximal graded left quotient algebra of a graded algebra, Acta Math. Sinica. Eng. Ser., 22, 1, pp. 261-270, (2006)
  • [3] Asano K., Arithmetische Idealtheorie in nichtkommutativen Ringen, Jpn. J. Math., 15, pp. 1-36, (1939)
  • [4] Atiyah M., MacDonald I., Introduction to Commutative Algebra, (1969)
  • [5] Bahturin Y.A., Sehgal S.K., Zaicev M.V., Group grading on associative algebras, J. Algebra, 241, pp. 677-698, (2001)
  • [6] Bahturin Y.A., Zaitsev M.V., Segal S.K., Finite-dimensional simple graded algebras, Sb. Math., 199, 7, pp. 965-983, (2008)
  • [7] Balaba I.N., Rings of quotients of semiprime graded rings, Works of the Int. Seminar “Universal Algebra and Its Applications,”, pp. 21-28, (2000)
  • [8] Balaba I.N., Isomorphisms of graded rings of linear transformations of graded vector spaces, Chebyshevskii Sb., 6, 4-16, pp. 6-23, (2005)
  • [9] Balaba I.N., Graded regular rings and modules, Chebyshevskii Sb., 11, 3-35, pp. 22-31, (2010)
  • [10] Balaba I.N., Efremov V.A., Graded rings of quotients of semiprime graded rings, Chebyshevskii Sb., 11, 1-33, pp. 20-30, (2010)
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