Quasi-Armendariz rings relative to a monoid

• Autores: Ebrahim Hashemi
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 211, Nº 2, 2007, págs. 374-382
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2007.01.018
• Texto completo no disponible (Saber más ...)
• Resumen

  • For a monoid M, we introduce M-quasi-Armendariz rings which are a generalization of quasi-Armendariz rings, and investigate their properties. The M-quasi-Armendariz condition is a Morita invariant property. The class of M-quasi-Armendariz rings is closed under some kinds of upper triangular matrix rings. Every semiprime ring is M-quasi-Armendariz for any unique product monoid and any strictly totally ordered monoid M. Moreover, we study the relationship between the quasi-Baer property of a ring R and those of the monoid ring R]M]. Every quasi-Baer ring is M-quasi-Armendariz for any unique product monoid and any strictly totally ordered monoid M.