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Moore-Penrose inversion in complex contracted inverse semigroup algebras
Published online by Cambridge University Press: 09 April 2009
Abstract
It is shown that every element of the complex contracted semigroup algebra of an inverse semigroup S = S0 has a Moore-Penrose inverse, with respect to the natural involution, if and only if S is locally finite. In particular, every element of a complex group algebra has such an inverse if and only if the group is locally finite.
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- Research Article
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- Copyright © Australian Mathematical Society 1999
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