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分次除环和Jacobson稠密性定理 被引量:1

GRADED DIVISION RINGS AND THE JACOBSON DENSITY THEOREM
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摘要 讨论了分次除环和分次 Jacobson 稠密性定理,证明了分次 Jacobson 根为零的右分次阿丁环也是左分次阿丁环. The graded division rings and a graded version of the Jacobsen density theorem are studied.As a corollary,it is shown that a right gr-Artinian ring with zero graded Jaeobson radical,is loft gr-Artinian.
出处 《北京师范大学学报(自然科学版)》 CAS CSCD 1991年第2期129-134,共6页 Journal of Beijing Normal University(Natural Science)
基金 the Science Foundation of State Education Committee.
关键词 分次本原环 稠密定理 左gr-阿J环 primitive graded ring density theorem left gr-Artinian ring
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参考文献1

  • 1刘绍学,Chin Sci Bull,1990年,35卷,22期,1696页

同被引文献8

  • 1NASTASESCU C. Group Ring of Graded Ring Applications [J]. J Pure Appl Algebra, 1984,33 : 313-335.
  • 2COHEN M, MONTGOMERY S. Group Graded Rings Smash Products and Group Actions [J]. Trans Amer Math Soc, 1984, 282:237-258.
  • 3ANDERSON F A, FULLER F R. Rings and Categories of Modules [M]. New York.Springer-verlag, 1974.
  • 4BELL A D. Localization and Ideal Theory in Noetherian Strongly Group Graded Ring [ J ]. Jour of Alg, 1987,139 : 75-115.
  • 5FANG Hong-jin,PATRICK S. Graded Rings and Essential Ideals [J]. J Austral Math Soc(Series A), 1992,52 : 143-153.
  • 6FISHER J W. On the Nilpotency of Nilsubrings [J]. Can J Math, 1970,22:1 211-1 216.
  • 7NASTASESCU C, OYSTAEYEN F V, Graded Ring Theory [M]. Amsterdam:North-Holland Publishing Company, 1982.
  • 8侯波,王建军.强G-分次环上的根[J].河北师范大学学报(自然科学版),1997,21(4):340-341. 被引量:1

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