EXTENSIONS OF GENERALIZED STABLE RINGS

Title & Authors
EXTENSIONS OF GENERALIZED STABLE RINGS
Wanru, Zhang;

Abstract
In this paper, we investigate the extensions of generalized stable rings. It is shown that a ring R is a generalized stable ring if and only if R has a complete orthogonal set {e$\small{_1}$, . . . , e$\small{_n}$} of idempotents such that e$\small{_1}$Re$\small{_1}$, . . . , e$\small{_n}$Re$\small{_n}$ are generalized stable rings. Also, we prove that a ring R is a generalized stable ring if and only if R[[X]] is a generalized stable ring if and only if T(R,M) is a generalized stable ring.
Keywords
generalized stable rings;complete orthogonal set of idempotents;ring extensions;
Language
English
Cited by
1.
Stable range and almost stable range, Journal of Pure and Applied Algebra, 2012, 216, 10, 2094
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