A Noether Skolem theorem for group-graded rings

James Osterburg, Declan Quinn

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

The classical Noether Skolem theorem gives conditions to determine if an automorphism or a derivation of a finite-dimensional central simple algebra is inner. The definition of inner has been extended to more general Hopf algebra actions. In this paper, we study group-gradings of central simple algebras and we give sufficient conditions for the grading to be inner. This provides a partial answer to a question of J. Bergen and S. Montgomery.

Original languageEnglish (US)
Pages (from-to)483-490
Number of pages8
JournalJournal of Algebra
Volume113
Issue number2
DOIs
StatePublished - Mar 1988
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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