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- W4298172007 abstract "We consider categories over a field $k$ in order to prove that smash extensions and Galois coverings with respect to a finite group coincide up to Morita equivalence of $k$-categories. For this purpose we describe processes providing Morita equivalences called contraction and expansion. We prove that composition of these processes provides any Morita equivalence, a result which is related with the karoubianisation (or idempotent completion) and additivisation of a $k$-category." @default.
- W4298172007 created "2022-10-01" @default.
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- W4298172007 date "2005-02-15" @default.
- W4298172007 modified "2023-09-25" @default.
- W4298172007 title "Galois coverings, Morita equivalence and smash extensions of categories over a field" @default.
- W4298172007 doi "https://doi.org/10.48550/arxiv.math/0502308" @default.
- W4298172007 hasPublicationYear "2005" @default.
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