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

Institut for Matematiske Fag

13 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Proceedings of the Estonian Academy of Sciences
Vol/bind	59
Udgave nummer	4
Sider (fra-til)	338-346
ISSN	1736-6046
DOI	https://doi.org/10.3176/proc.2010.4.13
Status	Udgivet - 20 dec. 2010

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Det Natur- og Biovidenskabelige Fakultet

Adgang til dokumentet

10.3176/proc.2010.4.13

Citationsformater

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title = "Commutativity and ideals in category crossed products",

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T1 - Commutativity and ideals in category crossed products

AU - Öinert, Per Johan

AU - Lundström, Patrik

PY - 2010/12/20

Y1 - 2010/12/20

N2 - 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.

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

U2 - 10.3176/proc.2010.4.13

DO - 10.3176/proc.2010.4.13

M3 - Conference article

SN - 1736-6046

VL - 59

SP - 338

EP - 346

JO - Proceedings of the Estonian Academy of Sciences: Engineering

JF - Proceedings of the Estonian Academy of Sciences: Engineering

IS - 4

ER -