A generalization of the smash product of a graded ring

DOI10.1016/0022-4049(88)90093-XzbMath0653.16002MaRDI QIDQ1107603

Beattie, Margaret

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

smash productG-graded ringcategory of G-graded R-modulescategory of unital S- modulesgraded Jacobson radicalring with local units

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Group rings (16S34) Automorphisms and endomorphisms (16W20) Graded rings and modules (associative rings and algebras) (16W50) Radicals and radical properties of associative rings (16Nxx)

Related Items (19)

Graded equivalence theory with applications ⋮ Duality theorems for rings with actions or coactions ⋮ Hopf algebra coactions ⋮ On the Jacobson radical of a groupoid graded ring ⋮ Categories of modules graded by \(G\)-sets. Applications ⋮ Infinite group-graded rings, rings of endomorphisms, and localization ⋮ Wide morita contexts ⋮ On when a graded ring is graded equivalent to a crossed product ⋮ A generalization of Gabriel's Galois covering functors and derived equivalences ⋮ \(G\)-algebras, twistings, and equivalences of graded categories. ⋮ Skew category, Galois covering and smash product of a 𝑘-category ⋮ Relative projectivity, graded Clifford theory, and applications ⋮ Graded radicals of graded rings ⋮ Graded Steinberg algebras and their representations ⋮ On perfect graded rings ⋮ Sectional algebras of semigroupoid bundles ⋮ Categorical equivalences and realization theorems ⋮ Perfect Rings: A Local Approach ⋮ Graded t-rings with finite support

Cites Work

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• Morita equivalence for rings without identity
• When is R-gr equivalent to the category of modules?
• Group-Graded Rings, Smash Products, and Group Actions
• Group graded rings
• Group-Graded Rings and Duality
• Morita equivalence for rings with local units
• Addendum to "Group-Graded Rings, Smash Products, and Group Actions"

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