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本质环及其决定的两个特殊根 被引量:2

Essential rings and two special radicals determined by them
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摘要 定义了本质环 ,它同时是亚直不可约环和素环的推广 ;给出了本质环的一些描述及基本性质 ;研究了由本质环所决定的两个特殊根 . The essential rings are defined,and it is also the generalization of both the subdirectly irreducible rings and the prime rings. Their characteristics and fundamental properties are given. Two special radicals determined by the essential rings are also investigated.
出处 《山东大学学报(工学版)》 CAS 2004年第4期78-80,共3页 Journal of Shandong University(Engineering Science)
关键词 本质环 亚直不可约环 素环 半素环 essential ring subdirectly irreducible ring prime ring semiprime ring
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  • 1YANG Zong-wen. WANG Jun-min. The upper radical determined by the class of all J-semisimple subderectly irreducible rings[ J] .J Math Res Esp. 2000:4,503 - 506.
  • 2Heyman G A P and Ross C. Essential extension in radical theory for rings[J]. J Austral Math soc Ser A. 1977.23, 340- 347.
  • 3SZASZ F A. Radicals of rings[M], Budapest: Akademiai Kaido,1981.
  • 4JACOBSON, N. Structure of Rings[M], Prodidence: American Mathematical Society Colloguim Publication 1965.
  • 5张宪君,Pure and applied mathematics

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  • 1CHASE S U. Direct products of modules[J].Trans AmerMath Soc, 1960, 97: 457-473.
  • 2BOURBAKI N. Algebre Homologique [M]. Paris: Masson, 1980.
  • 3CHEN Jian-long, DING Nan-qin. On n-coherent rings[J]. CommAlgebra, 1996, 24: 3211-3216.
  • 4DING Nan-qin, MAO Li-xin. On divisible and torsionfree modules[J]. Comm Algebra, 2008, 36: 708-731.
  • 5LEE S B. n-coherent rings [J]. Comrn Algebra, 2006, 34: 361-370.
  • 6ENOCHS, E E, JENDA O M G. Relative Homological Algebra [M]. GEM30. Berlin, New York: Walter de Gruyter, 2000.
  • 7EKLOF P C, TRLIFAJ J. How to make Ext vanish [J]. Bull London Math Soc, 2001, 19: 41-51.
  • 8TRLIFAJ J. Covers, envelopes, and cotorsion theories [R]//Homological Methods in Module Theory. Lecture Notes for the workshop. Cortona, 2000: 10-16.
  • 9JONES M F. Coherent relative to a hereditary torsion theory[J].CommAlgebra, 1982, 10: 719-739.
  • 10CHEATHAM T J, STONE D R. Flat and projective character modules[J].Proc Amer Math Soc, 1981, 81(2): 175-177.

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