Commutativity and ideals in category crossed products

Per Johan Öinert; Patrik Lundström

doi:10.3176/proc.2010.4.13

Commutativity and ideals in category crossed products

Per Johan Öinert, Patrik Lundström

Department of Mathematical Sciences

13 Citations (Scopus)

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.

Original language	English
Journal	Proceedings of the Estonian Academy of Sciences
Volume	59
Issue number	4
Pages (from-to)	338-346
ISSN	1736-6046
DOIs	https://doi.org/10.3176/proc.2010.4.13
Publication status	Published - 20 Dec 2010

Keywords

Faculty of Science
category graded rings
crossed products
ideals

Access to Document

10.3176/proc.2010.4.13

Cite this

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AU - Öinert, Per Johan

AU - Lundström, Patrik

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AB - 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.

KW - Faculty of Science

KW - category graded rings

KW - crossed products

KW - ideals

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M3 - Conference article

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VL - 59

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JO - Proceedings of the Estonian Academy of Sciences: Engineering

JF - Proceedings of the Estonian Academy of Sciences: Engineering

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