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- Title
ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS.
- Authors
SKRYABIN, SERGE
- Abstract
Let H be a Hopf algebra with a bijective antipode, A an H-simple H-module algebra finitely generated as an algebra over the ground field and module-finite over its centre. The main result states that A has finite injective dimension and is, moreover, Artin–Schelter Gorenstein under the additional assumption that each H-orbit in the space of maximal ideals of A is dense with respect to the Zariski topology. Further conclusions are derived in the cases when the maximal spectrum of A is a single H-orbit or contains an open dense H-orbit.
- Subjects
HOPF algebras; MODULES (Algebra); FINITE fields; MAXIMAL ideals; MATHEMATICAL analysis
- Publication
Glasgow Mathematical Journal, 2017, Vol 59, Issue 2, p299
- ISSN
0017-0895
- Publication type
Article
- DOI
10.1017/S0017089516000185