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Morita equivalence of quasi-primal algebras and sheaves

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Abstract

In this paper, we show that two quasi-primal algebras are Morita equivalent if and only if their inverse semigroups of inner automorphisms are isomorphic, and if they have the “same” one-element subalgebras. The proof of this statement uses the representation theory of algebras by sections in sheaves.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 92521, Riverside, CA, USA

    G. Gierz

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  1. G. Gierz
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Gierz, G. Morita equivalence of quasi-primal algebras and sheaves. Algebra Universalis 35, 570–576 (1996). https://doi.org/10.1007/BF01243596

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  • DOI: https://doi.org/10.1007/BF01243596

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