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W-C-倾斜模的Auslander-Reiten对应 被引量:1

Auslander-Reiten correspondence for W-C-tilting modules
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摘要 给出了W-C-倾斜模与满足特定条件的子范畴的一一对应关系,将倾斜模上的Auslander-Reiten对应推广到了W-C-倾斜模上。 It is proved that there exists a one-to-one correspondence relationship between W-C-tilting modules and subcategories satisfying some conditions,which generalized the Auslander-Reiten correspondence for tilting modules.
作者 雷雪萍
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2009年第12期41-43,共3页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(10771112) 淮阴师范学院青年优秀人才支持计划项目(08QNZCK002)
关键词 ARTIN代数 W-C-倾斜模 Auslander-Reiten对应 Artin algebras W-C-tilting modules Auslander-Reiten correspondence
  • 相关文献

参考文献5

  • 1AUSLANDER M, REITEN I. Apphcations of contravariantly finite subcategories[J]. Adv Math, 1991, 86:111-152.
  • 2WEI Jiaqun, XI Changchang. Attslander-Reiten correspondence for tilting pairs[J]. J Pure Applied Algebra, 2008, 212:411-422.
  • 3雷雪萍.W-C-倾斜模[J].山东大学学报(理学版),2008,43(10):27-30. 被引量:5
  • 4WEI Jiaqun, XI Changehang. A characterization of the tilting pair[J]. J Algebra, 2007, 317:376-391.
  • 5WAKAMATSU T. On modules with trivial self-extensions[J]. J Algebra, 1988, 114:106-114.

二级参考文献5

  • 1WAKAMATSU T. On modules with trivial self-extensions[J]. J Algebra, 1988, 114:106-114.
  • 2MIYASHITA Y. Tilting modules associated with a series of idempotent ideals[J]. J Algebra, 2001, 238:485-501.
  • 3WEI Jiaqun, XI Changchang. A characterization of the tilting pair[J]. J Algebra, 2007, 317:376-391.
  • 4WEI Jiaqun, XI Changchang. Auslander-Reiten correspondence for tilting pairs[J]. J Pure Applied Algebra, 2008, 212:411-422.
  • 5HAPPEL D, UNGER L. Complements and the generalized Nakayama conjecture[J]. CMS Conf Proc, 1998, 24:293-310.

共引文献4

同被引文献7

  • 1MIYASHITA Y. Tilting modules associated with a series of idempotent ideals[J].J Algebra, 2001, 238:485-501.
  • 2WEI Jiaqun, XI Changchang. A characterization of the tilting pair[J]. J Algebra, 2007, 317:376-391.
  • 3WEI Jiaqun, XI Changchang. Auslander-Reiten correspondence for tilting pairs[J].J Pure Applied Algebra, 2008, 212:411- 422.
  • 4COELHAO F, HAPPEL D, UNGER L. Complements to partial tilting modules [J].J Algebra, 1994, 170:184-205.
  • 5AUSLANDER M, REITEN I. Applications of contravariantly finite subcategofies[J]. Adv Math, 1991, 86:111-152.
  • 6HAPPEL D, UNGER L. Partial tilting modules and covariantly finite subcategories[J]. Communications in Algebra, 1994, 22 : 1723-1727.
  • 7雷雪萍.W-C-倾斜模[J].山东大学学报(理学版),2008,43(10):27-30. 被引量:5

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