Commutativity and Ideals in Pre-crystalline Graded Rings
(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:
https://lup.lub.lu.se/record/1518595
- author
- Öinert, Johan LU and Silvestrov, Sergei LU
- organization
- publishing date
- 2009
- 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
- 2022-01-27 19:36:23
@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}}, keywords = {{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}}, doi = {{10.1007/s10440-009-9434-4}}, volume = {{108}}, year = {{2009}}, }