Displaying similar documents to “Addendum to “Ring elements as sums of units””

On Armendariz rings.

Bakkari, Chahrazade, Mahdou, Najib (2009)

Beiträge zur Algebra und Geometrie

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P -clean rings.

Chen, Weixing (2006)

International Journal of Mathematics and Mathematical Sciences

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A Survey of Rings Generated by Units

Ashish K. Srivastava (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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This article presents a brief survey of the work done on rings generated by their units.

Extensions of G M -rings

Huanyin Chen, Miaosen Chen (2005)

Czechoslovak Mathematical Journal

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It is shown that a ring R is a G M -ring if and only if there exists a complete orthogonal set { e 1 , ⋯ , e n } of idempotents such that all e i R e i are G M -rings. We also investigate G M -rings for Morita contexts, module extensions and power series rings.

Levels of rings - a survey

Detlev W. Hoffmann (2016)

Banach Center Publications

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Let R be a ring with 1 ≠ 0. The level s(R) of R is the least integer n such that -1 is a sum of n squares in R provided such an integer exists, otherwise one defines the level to be infinite. In this survey, we give an overview on the history and the major results concerning the level of rings and some related questions on sums of squares in rings with finite level. The main focus will be on levels of fields, of simple noncommutative rings, in particular division rings, and of arbitrary...

AE-rings

Manfred Dugas, Shalom Feigelstock (2004)

Rendiconti del Seminario Matematico della Università di Padova

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