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几乎C-倾斜模

Almost complete C-tilting modules
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摘要 给出几乎C-倾斜模和C-补的定义,得到几乎C-倾斜模的互不同构的不可分解C-补的完全集。 The concepts of almost complete C-tilting modules and C-complements are introduced. And a complete list of pairwise non-isomorphic indecomposable C-complements of the almost complete C-tilting modules is given.
作者 雷雪萍
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2011年第2期101-104,共4页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(11001198)
关键词 ARTIN代数 几乎C-倾斜模 Artin algebras almost complete C-tilting modules complements
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参考文献8

  • 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.
  • 4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
  • 5雷雪萍.W-C-倾斜模的Auslander-Reiten对应[J].山东大学学报(理学版),2009,44(12):41-43. 被引量:1
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二级参考文献10

  • 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.
  • 6AUSLANDER M, REITEN I. Apphcations of contravariantly finite subcategories[J]. Adv Math, 1991, 86:111-152.
  • 7WEI Jiaqun, XI Changchang. Attslander-Reiten correspondence for tilting pairs[J]. J Pure Applied Algebra, 2008, 212:411-422.
  • 8WEI Jiaqun, XI Changehang. A characterization of the tilting pair[J]. J Algebra, 2007, 317:376-391.
  • 9WAKAMATSU T. On modules with trivial self-extensions[J]. J Algebra, 1988, 114:106-114.
  • 10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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