Duo, Bézout and distributive rings of skew power series
Mazurek, Ryszard (Bialystok Technical University (Polònia). Faculty of Computer Science)
Ziembowski, Michal (University of Edinburgh. School of Mathematics)

Date:	2009
Abstract:	We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the skew power series ring R[[x; σ]] to be right duo right Bézout. In particular, we prove that R[[x; σ]] is right duo right Bézout if and only if R[[x; σ]] is reduced right distributive if and only if R[[x; σ]] is right duo of weak dimension less than or equal to 1 if and only if R is N0-injective strongly regular and σ is bijective and idempotent-stabilizing, extending to skew power series rings the Brewer-Rutter-Watkins characterization of commutative B'ezout power series rings.
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Skew power series ring ; Rright Bézout ring ; Right distributive ring ; Right duo ring
Published in:	Publicacions matemàtiques, Vol. 53, Num. 2 (2009) , p. 257-271, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/140679
DOI: 10.5565/PUBLMAT_53209_01

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