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Commutativity and ideals in category crossed products

Öinert, Johan LU and Lundström, P (2010) In Proceedings of the Estonian Academy of Sciences 59(4). p.338-346
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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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
category graded rings, crossed products, ideals
in
Proceedings of the Estonian Academy of Sciences
volume
59
issue
4
pages
338 - 346
publisher
Estonian Academy Publishers
external identifiers
  • wos:000284152200013
  • scopus:79951900689
ISSN
1736-7530
DOI
10.3176/proc.2010.4.13
language
English
LU publication?
yes
id
12a24516-d220-403e-ba23-a2c94a0073fd (old id 2536579)
date added to LUP
2012-05-08 13:24:11
date last changed
2018-05-29 11:41:58
@article{12a24516-d220-403e-ba23-a2c94a0073fd,
  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.},
  author       = {Öinert, Johan and Lundström, P},
  issn         = {1736-7530},
  keyword      = {category graded rings,crossed products,ideals},
  language     = {eng},
  number       = {4},
  pages        = {338--346},
  publisher    = {Estonian Academy Publishers},
  series       = {Proceedings of the Estonian Academy of Sciences},
  title        = {Commutativity and ideals in category crossed products},
  url          = {http://dx.doi.org/10.3176/proc.2010.4.13},
  volume       = {59},
  year         = {2010},
}