Commutativity and ideals in category crossed products

Proceedings of the Estonian Academy of Sciences

Johan Öinert¹  Patrik Lundström¹ 

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关键词: category graded rings;    crossed products;    ideals;   

DOI  :  10.3176/proc.2010.4.13

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the centre and the commutant of the coefficient ring. We also investigate the connection between on the one hand maximal commutativity of the coefficient ring and on the other hand nonemptiness of intersections of the coefficient ring by nonzero two-sided ideals.

【 授权许可】

Unknown