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Semicommutativity of the rings relative to prime radical

Handan Kose, Burcu Ungor (2015)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we introduce a new kind of rings that behave like semicommutative rings, but satisfy yet more known results. This kind of rings is called $P$ -semicommutative. We prove that a ring $R$ is $P$ -semicommutative if and only if $R [x]$ is $P$ -semicommutative if and only if $R [x, x^{- 1}]$ is $P$ -semicommutative. Also, if $R [[x]]$ is $P$ -semicommutative, then $R$ is $P$ -semicommutative. The converse holds provided that $P (R)$ is nilpotent and $R$ is power serieswise Armendariz. For each positive integer $n$ , $R$ is $P$ -semicommutative if and...

Skeletons, bodies and generalized $E (R)$ -algebras

Rüdiger Göbel, Daniel Herden, Saharon Shelah (2009)

Journal of the European Mathematical Society

Small almost free modules with prescribed topological endomorphism rings

A. L. S. Corner, Rüdiger Göbel (2003)

Rendiconti del Seminario Matematico della Università di Padova

Sobre anillos de polinomios que son anillos de Bézout.

Pere Menal (1980)

Collectanea Mathematica

Solvable Normal Subgroups and Nilpotent Ideals in Matrix Rings.

Charles Lanski (1973)

Mathematische Annalen

Some constructions related to Rees matrix rings.

Petrich, M. (2002)

Acta Mathematica Universitatis Comenianae. New Series

Some external characterizations of SV-rings and hereditary rings.

Haily, A., Rahnaoui, H. (2007)

International Journal of Mathematics and Mathematical Sciences

Strong stably finite rings and some extensions.

Vedadi, M.R. (2009)

Acta Mathematica Universitatis Comenianae. New Series

Strongly regular rings.

B.M. Schein, L. Li (1985)

Semigroup forum

Structures naturelles des demi-groupes et des anneaux réguliers ou involutés

Jean Calmes (1994)

Mathématiques et Sciences Humaines

Certaines relations binaires sont définies sur les demi-groupes et les demi-groupes à involution. On examine comment elles peuvent en ordonner les éléments: notamment les idempotents, les éléments réguliers au sens de von Neumann, ceux qui possédent un inverse ponctuel ou de Moore-Penrose ; et en fonction aussi de conditions sur l'involution. Ces relations peuvent alors coïncider avec les ordres naturels des idempotents et des demi-groupes inverses, avec les ordres de Drazin et de Hartwig : elles...

Sull'algebra degli endomorfismi di una classe di moduli ridotti e senza torsione sui domini di Dedekind

Attilio Le Donne (1976)

Rendiconti del Seminario Matematico della Università di Padova

Symmetric Functions, Conjugacy Classes and the Flag Variety.

Claudio Procesi, Corrado de Concini (1981)

Inventiones mathematicae

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