Decomposition of a ring induced by minus partial order
نویسندگان
چکیده
منابع مشابه
Ela Decomposition of a Ring Induced by minus Partial Order
The minus partial order linear algebraic methods have proven to be useful in the study of complex matrices. This paper extends study of minus partial orders to general rings. It is shown that the condition a < b, where < is the minus partial order, defines two triples of orthogonal idempotents, and thus, a decomposition of a ring into a direct sum of abelian groups. Hence, several well-known re...
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The minus partial order is already known for complex matrices and bounded linear operators on Hilbert spaces. We extend this notion to Rickart rings, and thus we generalize some well-known results.
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تاریخ انتشار 2017