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模消去的Morita Contexts 被引量：3

MORITA CONTEXTS WITH CANCELLATION OF MODULES
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摘要 证明了置换环上n-稳定秩条件关于Morita Context是遗传的;进一步把该结果推广到了强可分环,从而提供了新的具有模消去的置换环。 It is shown that n-stable range conditions over exchange rings can be inherited by general contexts. By introducing strongly separative modules, the authors extend this result to strongly separative rings. These provide new classes of exchange rings with cancellations of modules.
作者 陈焕艮 秦厚荣
机构地区 湖南师范大学数学与计算机科学学院 南京大学数学系
出处 《数学年刊（A辑）》 CSCD 北大核心 2004年第1期43-52,共10页 Chinese Annals of Mathematics
关键词 n-稳定秩条件 强可分环 MORITA CONTEXT Stable range conditions, Strong separativity, Morita context
分类号 O153.3 [理学—基础数学]
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参考文献20

  • 1[1]Ara, P., Strongly π-regular rings have stable range one [J], Proc. Amer. Math. Soc.,124(1996), 3293-3298.
  • 2[2]Ara, P., Goodearl, K. R., O'Meara, K. C. & Pardo, E.. Diagonalization of matrices over regular rings [J], Linear Algebra Appl., 265(1997), 147-163.
  • 3[3]Ara, P., Goodearl, K. R., O'Meara, K. C. & Pardo, E., Separative cancellation for projective modules over exchange rings [J], Israel J. Math., 105(1998), 105-137.
  • 4[4]Ara, P., Goodearl, K. R., O'Meara, K. C. & Raphael, R., K1 of separative exchange rings and C*-algebras with real aank zero [J], Pacific J. Math., 195(2000), 261-273.
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  • 10[10]Chen, H., Regular rings with finite stable range [J], Comm. Algebra, 29(2001), 157-166.

同被引文献17

  • 1Yu Qun CHEN,Yun FAN,Zhi Feng HAO.Ideals in Morita Rings and Morita Semigroups[J].Acta Mathematica Sinica,English Series,2005,21(4):893-898. 被引量：2
  • 2王尧,任艳丽.具有一对零同态的Morita Context环(Ⅰ)[J].吉林大学学报（理学版）,2006,44(3):318-324. 被引量：14
  • 3Henriksen M. On a calss of regular rings that are elementary divisor rings. Arch Math, 1973, 73:133 -141.
  • 4Goodearl K R. Von Neumann Regular Rings, 2nd ed. Malabar, Fh Krieger, 1991.
  • 5Ara P, Goodearl K R, O'Meara K C, Pardo E. Diagonalization of matrices over regular rings. Linear Algebra Appl, 1997, 265:147- 163.
  • 6Pardo E. Comparability, separativity, and exchange rings. Comm Algebra, 1996, 24:2915-2929.
  • 7Ara P, Goodearl K R, O'Meara K C, Pardo E. Separative cancellation for projective modules over exchange rings. Israel J Math, 1998, 105:105-137.
  • 8Brookfield G. Monoids and Categories of Noetherian Modules [Ph D Thesis]. California: University of California at Santa Barbara, 1997.
  • 9Chen H, Li F. Exchange rings satisfying ideal-stable rang one. Science in China (Series A), 2001, 44: 579 586.
  • 10Chen H. On exchange QB-rings. Comm Algebra, 2003, 31:831- 841.

引证文献3

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数学年刊（A辑）
2004年 第1期

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