科研之友
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摘要
This paper is a continuation of two previous works studying the units of a compatible nearring R satisfying the descending chain condition on right ideals using a faithful compatible module G of R. A crucial point in doing this involves determining 1 + Ann(R)(G/H) where H is a direct sum of isomorphic minimal R-ideals. The high point of this paper is extending this determination from the cases in the previous works to the case where G/H and H contain no isomorphic minimal factors. We also shall further expand our knowledge of when a special type of principal series for G introduced in the second of these previous works called a quasi c-chain exists.
- 出版日期2013-7
