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Página principal > Artículos > Artículos publicados > Duo, Bézout and distributive rings of skew power series |
Fecha: | 2009 |
Resumen: | 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. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Materia: | Skew power series ring ; Rright Bézout ring ; Right distributive ring ; Right duo ring |
Publicado en: | Publicacions matemàtiques, V. 53 n. 2 (2009) p. 257-271, ISSN 2014-4350 |
15 p, 153.9 KB |