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Commutativity and Ideals in Pre-crystalline Graded Rings

Öinert, Johan LU and Silvestrov, Sergei LU (2009) In Acta Applicandae Mathematicae 108(3). p.603-615
Abstract
Pre-crystalline graded rings constitute a class of rings which share many properties with classical crossed products. Given a pre-crystalline graded ring A, we describe its center, the commutant C-A(A(0)) of the degree zero grading part, and investigate the connection between maximal commutativity of A(0) in A and the way in which two-sided ideals intersect A(0).
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Crossed products, Graded rings, Ideals, subrings, Commutative, Skew group rings
in
Acta Applicandae Mathematicae
volume
108
issue
3
pages
603 - 615
publisher
Springer
external identifiers
  • wos:000271941500010
  • scopus:71449117893
ISSN
0167-8019
DOI
10.1007/s10440-009-9434-4
language
English
LU publication?
yes
id
cc61a947-ff01-41c2-8deb-a91366d146d4 (old id 1518595)
date added to LUP
2009-12-28 15:17:13
date last changed
2017-01-01 05:42:41
@article{cc61a947-ff01-41c2-8deb-a91366d146d4,
  abstract     = {Pre-crystalline graded rings constitute a class of rings which share many properties with classical crossed products. Given a pre-crystalline graded ring A, we describe its center, the commutant C-A(A(0)) of the degree zero grading part, and investigate the connection between maximal commutativity of A(0) in A and the way in which two-sided ideals intersect A(0).},
  author       = {Öinert, Johan and Silvestrov, Sergei},
  issn         = {0167-8019},
  keyword      = {Crossed products,Graded rings,Ideals,subrings,Commutative,Skew group rings},
  language     = {eng},
  number       = {3},
  pages        = {603--615},
  publisher    = {Springer},
  series       = {Acta Applicandae Mathematicae},
  title        = {Commutativity and Ideals in Pre-crystalline Graded Rings},
  url          = {http://dx.doi.org/10.1007/s10440-009-9434-4},
  volume       = {108},
  year         = {2009},
}