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Volume 9, Issue 1 (10-2010)
Abstract

In this note we introduce the notion of weak McCoy rings as a generalization of McCoy rings, and investigate their properties. Also we show that, if is a semi-commutative ring, then is weak McCoy if and only if is weak McCoy.

Volume 18, Issue 51 (5-2005)
Abstract

For a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-Baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. This class of rings includes the right principally quasi-Baer rings and hence all prime rings. A certain n-generalized principally quasi-Baer subring of the matrix ring are studied, and connections to related classes of rings (e.g., p.q.-Baer rings and n-generalized p.p. rings) are considered1

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