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Rings which are Baer or quasi-Baer modulo a radical

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Abstract Baer and quasi-Baer rings are important classes of algebraic objects, and their properties have roots in analysis. In this paper, we investigate rings R such that is Baer or… Click to show full abstract

Abstract Baer and quasi-Baer rings are important classes of algebraic objects, and their properties have roots in analysis. In this paper, we investigate rings R such that is Baer or quasi-Baer, where is either the Jacobson radical or the prime radical of R. Preliminary characterizations and results are obtained; in particular, we show that the property of being quasi-Baer is a Morita invariant.

Keywords: rings baer; baer; baer quasi; quasi baer; modulo radical; baer modulo

Journal Title: Communications in Algebra
Year Published: 2021

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