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Commutativity and ideals in category crossed products

Authors
Publisher
ESTONIAN ACADEMY PUBLISHERS
Publication Date
Keywords
  • Crossed Products
  • Category Graded Rings
  • Ideals
  • Mathematics And Statistics
Disciplines
  • Mathematics

Abstract

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.

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