Graded Morita theory

DOI10.1006/jabr.1994.1051zbMath0812.16045OpenAlexW2049326382MaRDI QIDQ1322515

Paul R. Boisen

Publication date: 9 May 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1051

zbMATH Keywords

smash productssymmetric algebrascrossed productblock inductionMorita contextskew group ring\(G\)-graded ringfully gradedgraded Morita contextMorita I Theoremvertices of indecomposable modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20) Graded rings and modules (associative rings and algebras) (16W50) Twisted and skew group rings, crossed products (16S35)

Related Items (13)

Group gradings on the superalgebras \(M(m,n)\), \(A(m,n)\) and \(P(n)\) ⋮ Graded equivalence theory with applications ⋮ Two-dimensional extended homotopy field theories ⋮ Group corings. ⋮ Graded Morita theory over a \(G\)-graded \(G\)-acted algebra ⋮ Equivalences induced by graded bimodules ⋮ A note on symmetrizing forms for fully group-graded algebras ⋮ Morita contexts and Galois theory for weak Hopf comodulelike algebras. ⋮ Picard groups for graded coalgebras ⋮ Graded Version of Kato-Müller Theorem. Applications ⋮ Homology of fully graded algebras, Morita and derived equivalences ⋮ Graded self-injective algebras ``are trivial extensions. ⋮ Morita equivalence for graded rings

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