Actions of Inverse Semigroups on Algebras |
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Authors: | Dirceu Bagio Wagner Cortes Miguel Ferrero |
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Institution: | 1. Department of Mathematics , Federal University of Santa Maria , Santa Maria, Brazil;2. Institute of Mathematics, Federal University of Rio Grande do Sul , Porto Alegre, Brazil |
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Abstract: | In this article we prove that if S is a faithfully projective R-algebra and H is a finite inverse semigroup acting on S as R-linear maps such that the fixed subring S H = R, then any partial isomorphism between ideals of S which are generated by central idempotents can be obtained as restriction of an R-automorphism of S and there exists a finite subgroup of automorphisms G of S with S G = R. |
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Keywords: | Inverse semigroup Partial action Weakly Galois extension |
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