mdh.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Crossed product-like and pre-crystalline graded rings
Mälardalen University, School of Education, Culture and Communication. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2009 (English)In: Generalized Lie theory in mathematics, physics and beyond / [ed] Silvestrov, S.D.; Paal, E.; Abramov, V.; Stolin, A., Berlin, Heidelberg: Springer Berlin/Heidelberg, 2009, p. 281-296Chapter in book (Refereed)
Abstract [en]

We introduce crossed product-like rings, as a natural generalization of crystalline graded rings, and describe their basic properties. Furthermore, we prove that for certain pre-crystalline graded rings and every crystalline graded ring A, for which the base subring A0 is commutative, each non-zero two-sided ideal has a nonzero intersection with CA(A0), i.e. the commutant of A0 in A. We also show that in general this property need not hold for crossed product-like rings.

Place, publisher, year, edition, pages
Berlin, Heidelberg: Springer Berlin/Heidelberg, 2009. p. 281-296
Keyword [en]
commutant, graded ring, ideal, crossed product-like ring, crystalline graded ring, pre-crystalline graded ring
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22079DOI: 10.1007/978-3-540-85332-9_24ISBN: 978-3-540-85331-2 (print)ISBN: 978-3-540-85332-9 (print)OAI: oai:DiVA.org:mdh-22079DiVA, id: diva2:682598
Funder
Swedish Research Council
Available from: 2013-12-28 Created: 2013-10-23 Last updated: 2014-03-11Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full texthttp://dx.doi.org/10.1007/978-3-540-85332-9_24

Authority records BETA

Silvestrov, Sergei

Search in DiVA

By author/editor
Silvestrov, Sergei
By organisation
School of Education, Culture and Communication
Algebra and Logic

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 11 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf