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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).
Please use this url to cite or link to this publication:
author
and
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
2016-04-01 13:30:42
date last changed
2021-03-24 01:09:33
@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},
  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},
  doi          = {10.1007/s10440-009-9434-4},
  volume       = {108},
  year         = {2009},
}