Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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
Epsilon-strongly graded rings, separability and semisimplicity
University West, Sweden.ORCID iD: 0000-0001-6594-7041
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.ORCID iD: 0000-0001-8095-0820
Industrial University of Santander, Colombia.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We introduce the class of epsilon-strongly graded rings and show that it properly contains both the collection of strongly graded rings and the family of unital partial crossed products. We determine when epsilon-strongly graded rings are separable over their principal components. Thereby, we simultaneously generalize a result for strongly group-graded rings by Nastasescu, Van den Bergh and Van Oystaeyen, and a result for unital partial crossed products by Bagio, Lazzarin and Paques. We also show that the family of unital partial crossed products appear in the class of epsilon-strongly graded rings in a fashion similar to how the classical crossed products present themselves in the family of strongly graded rings. Thereby, we obtain, in the special case of unital partial crossed products, a short proof of a general result by Dokuchaev, Exel and Simon concerning when graded rings can be presented as partial crossed products.

Keyword [en]
group graded ring, partial crossed product, separable, semisimple, Frobenius
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-12922OAI: oai:DiVA.org:bth-12922DiVA: diva2:953536
Available from: 2016-08-18 Created: 2016-08-18 Last updated: 2016-08-30Bibliographically approved

Open Access in DiVA

No full text

Other links

arXiv

Search in DiVA

By author/editor
Nystedt, PatrikÖinert, Johan
By organisation
Department of Mathematics and Natural Sciences
Algebra and Logic

Search outside of DiVA

GoogleGoogle Scholar

Total: 62 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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