For a ring endomorphism α and an α-derivation δ, we introduce α-compatible rings which
are a generalization of α-rigid rings, and study on the relationship between the quasi …

We introduce the notions of Baer and quasi-Baer properties in a general module theoretic
setting. A module M is called (quasi-) Baer if the right annihilator of a (two-sided) left ideal of …

In this paper we investigate the class of piecewise prime, PWP, rings which properly
includes all piecewise domains (hence all right hereditary rings which are semiprimary or …

The notion of Baer modules was defined recently. Since a direct sum of Baer modules is not
a Baer module in general, an open question is to find necessary and sufficient conditions for …

In this paper we are interested in studying the properties of Armendariz, Baer, quasi-Baer,
pp and pq-Baer over skew PBW extensions. Using a notion of compatibility, we generalize …

A GENERALIZATION OF PP-RINGS AND pq-BAER RINGS Page 1 Glasgow Math. J. 48 (2006)
217–229. C 2006 Glasgow Mathematical Journal Trust. doi:10.1017/S0017089506003016. Printed …

Ever since their introduction, skew PBW ($ Poincar {\acute {e}} $-Birkhoff-Witt) extensions of
rings have kept growing in importance, as researchers characterized their properties (such …

Full article: A NOTE ON PRINCIPALLY QUASI-BAER RINGS Skip to Main Content Taylor and
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Our goal is to develop methods that enable one to select a class K of rings and then to
describe all right essential overrings or all right rings of quotients of a given ring R which lie …

In this paper, we continue to study the differential inverse power series ring R [[x− 1; δ]],
where R is a ring equipped with a derivation δ. We characterize when R [[x− 1; δ]] is a local …