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I-semi-π-regular Rings
引用本文:廖芳芳,陈建龙.I-semi-π-regular Rings[J].东北数学,2007,23(1):51-62.
作者姓名:廖芳芳  陈建龙
作者单位:Department of Mathematics, Southeast University, Nanjing, 210096
基金项目:Foundation item: This work is partially supported by the NNSF (10171011) of China and the NNSF (10571026) of China and the Teaching and Research Award Program for 0utstanding Young Teachers in Higher Education Institutes of M0E, P.R.C.
摘    要:Let R be a ring and I an ideal of R. A ring R is called I-semi-π--regular if R/I is π-regular and idempotents of R can be strongly lifted modulo I. Characterizations of I-semi-π-regular rings are given and relations between semi-π-regular rings and semiregular rings are explored.

关 键 词:半π-正则环  I-半π-正则环  I-半正则环  强提升
文章编号:1000-1778(2007)01-0051-12
收稿时间:2005-12-07
修稿时间:2005-12-07
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