Epsilon-strongly graded rings, separability and semisimplicity

DOI10.1016/j.jalgebra.2018.08.002zbMath1502.16046arXiv1606.07592OpenAlexW2962740022WikidataQ129423441 ScholiaQ129423441MaRDI QIDQ1783387

Héctor Pinedo, Patrik Nystedt, Johan Öinert

Publication date: 20 September 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07592

zbMATH Keywords

separableFrobeniuspartial crossed productsemisimplegroup graded ring

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Division rings and semisimple Artin rings (16K99)

Related Items (14)

Simplicity of algebras via epsilon-strong systems ⋮ Ring theoretical properties of epsilon-strongly graded rings and Leavitt path algebras ⋮ The graded structure of algebraic Cuntz-Pimsner rings ⋮ Properties of the gradings on ultragraph algebras via the underlying combinatorics ⋮ Epsilon-strongly graded rings: Azumaya algebras and partial crossed products ⋮ Ring theoretic properties of partial skew groupoid rings with applications to Leavitt path algebras ⋮ Bimodules in group graded rings ⋮ Mackey's obstruction map for discrete graded algebras ⋮ Chain conditions for epsilon-strongly graded rings with applications to Leavitt path algebras ⋮ A characterization of graded von Neumann regular rings with applications to Leavitt path algebras ⋮ Induced quotient group gradings of epsilon-strongly graded rings ⋮ Group gradations on Leavitt path algebras ⋮ Recent developments around partial actions ⋮ EPSILON-STRONGLY GROUPOID-GRADED RINGS, THE PICARD INVERSE CATEGORY AND COHOMOLOGY

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