Commutativity and ideals in category crossed products
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Commutativity and ideals in category crossed products. / Öinert, Per Johan; Lundström, Patrik.
I: Proceedings of the Estonian Academy of Sciences, Bind 59, Nr. 4, 20.12.2010, s. 338-346.Publikation: Bidrag til tidsskrift › Konferenceartikel › Forskning › fagfællebedømt
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TY - GEN
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
VL - 59
SP - 338
EP - 346
JO - Proceedings of the Estonian Academy of Sciences: Engineering
JF - Proceedings of the Estonian Academy of Sciences: Engineering
SN - 1736-6046
IS - 4
ER -
ID: 32440682