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具有一对零态射的Morita Context环(Ⅱ) 被引量:4

Morita Context Ring with a Pair of Zero Homomorphisms(Ⅱ)
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摘要 设(A,B,V,W,ψ,φ)是一个Morita Context,具有一对零态射ψ=0,φ=0,C= (A V W B)是对应的Morita Context环.本文给出了C与A,B,V,W之间关于环的π-正则性、semiclean性、Mophic性和环的Exchgange性、Potent性、GM性的关系. Let (A, B, V, W, ψ, φ) be a Morita Context with a pair of zero homomorphisms and C = (AVWB) the corresponding Morita Context ring. This paper deals with the relations between C and A, B, V, W on π-regular, semiclean, morphic propenties and exchange, potent, GM properties of rings.
作者 王尧 任艳丽
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2007年第4期687-692,共6页 数学研究与评论(英文版)
基金 国家自然科学基金(10471055)
关键词 MORITA Context环 semiclean环 MORPHIC环 EXCHANGE环 Potent环 Morita Context ring semiclean ring Morphic ring exchange ring Potent ring.
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参考文献12

  • 1CHEN Huan-yin. Morita contexts with many units [J]. Comm. Algebra, 2002, 30(3): 1499-1512.
  • 2HAGHANY A. Morita contexts and torsion thcorles[J]. Math. Japon., 1995, 42(1): 137-142.
  • 3HAGHANY A. Hopficity and co-Hopficity for Morita contexts [J]. Comm. Algebra, 1999, 27(1): 477-492.
  • 4MORITA K. Duality for modules and its application on the theory of rings with minimum conditions [J]. Science Reports of the Tokyo Kyoiku Daigoku Sect. A, 1958, 6: 83-142.
  • 5JACOBSON N. Structure of Rings [M]. American Mathematical Society, Providence, R.I. 1964.
  • 6YE Yuan-qing. Semiclean rings [J]. Comm. Algebra, 2003, 31(11): 5609-5625.
  • 7NICHOLSON W K. SANCHEZ C E. Rings with the dual of the isomorphism theorem [J]. J. Algebra, 2004, 271(1): 391406.
  • 8MONK G S. A characterization of exchange rings [J]. Proc. Amer. Math. Soc., 1972, 35: 349-353.
  • 9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
  • 10NICHOLSON W K. Lifting idempotents and exchange ring [J]. Trans. Amer. Math. Soc., 1977, 229: 269-278.

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共引文献13

同被引文献33

  • 1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
  • 2王尧,任艳丽.Morita Context环的性质[J].吉林大学学报(理学版),2006,44(4):519-526. 被引量:2
  • 3任艳丽,王尧.Morita Context环的幂零性[J].数学的实践与认识,2007,37(9):148-152. 被引量:3
  • 4王尧,任艳丽.具有一对零态射的Morita Context环(Ⅲ)(英文)[J].南京大学学报(数学半年刊),2007,24(1):50-57. 被引量:1
  • 5JIN Hailan. Principally Quasi-Baer Skew Group Ring and Fixed Ring[D]. Pusan: Pusan National University, 2003:1-19.
  • 6Birkenmeier G F, Kim J Y, Park J K. Principally Quasi -Baer Rings[J]. Comm Algebra, 2001,29(2) :1-22.
  • 7Lee T K, Zhou Y. Reduced Modules[C]// Alberto Facchini, Evan Houstou, Luigii Salce. Rings, Modules, Alge- bras and Abelian Groups(Lecture Notes in Pure and Appl. Math 236). New york: Marcel Dekker, 2004:365-377.
  • 8Ebrahim H. A Note on p. q. -Baer Modules[J]. New York J Math, 2008(14) :403-410.
  • 9Ara P, Mathieu M. Local Multipliers of C* -Algebras[M]. New York: Springer, Berlin Heidelberg, 2003:140-155.
  • 10Morita K. Duality for Modules and Its Application to the Theory of Rrings with Minimum Conditions[J]. Science Reports of the Tokyo Kyoiku Daigoku Sect A, 1958(6):83-142.

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