EPSILON-STRONGLY GROUPOID-GRADED RINGS, THE PICARD INVERSE CATEGORY AND COHOMOLOGY

DOI10.1017/S0017089519000065zbMath1490.16102arXiv1805.07812OpenAlexW2963797430MaRDI QIDQ5203865

Héctor Pinedo, Johan Öinert, Patrik Nystedt

Publication date: 9 December 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07812

zbMATH Keywords

partially invertible modulesPicard inverse category

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Picard groups (14C22) Homological methods in associative algebras (16E99) Modules, bimodules and ideals in associative algebras (16D99)

Related Items (8)

Graded modules over object-unital groupoid graded rings ⋮ Ring theoretical properties of epsilon-strongly graded rings and Leavitt path algebras ⋮ Epsilon-strongly graded rings: Azumaya algebras and partial crossed products ⋮ Ring theoretic properties of partial skew groupoid rings with applications to Leavitt path algebras ⋮ Partial generalized crossed products and a seven term exact sequence ⋮ Isomorphism theorems for groupoids and some applications ⋮ Partial groupoid actions on sets and topological spaces ⋮ Object-unital groupoid graded rings, crossed products and separability

Cites Work

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• PARTIAL ACTIONS OF ORDERED GROUPOIDS ON RINGS
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• The category of groupoid graded modules
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• Partial Galois cohomology and related homomorphisms
• Strongly groupoid graded rings and cohomology

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