科研之友
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摘要
A ring R is called right SSP (SIP) if the sum (intersection) of any two direct summands of R-R is also a direct summand. Left SSP (SIP) rings are defined similarly. There are several interesting results on rings with SSP. For example, R is right SSP if and only if R is left SSP, and R is a von Neumann regular ring if and only if M-n(R) is SSP for some n > 1. It is shown that R is a semisimple ring if and only if the column finite matrix ring CFMN(R) is SSP, where N is the set of natural numbers. Some known results are proved in an easy way through idempotents of rings. Moreover, some new results on SSP rings are given.
- 出版日期2015-12
- 单位东南大学
