The Identity Element in Inverse Semigroup Algebras

Michael P. Drazin
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Michael P. Drazin: Purdue University, Department of Mathematics

A chapter in Semigroups and Their Applications, 1987, pp 43-46 from Springer

Abstract: Abstract W. D. Munn and R. Penrose (1957) obtained an explicit formula for the identity element 1A of the semigroup algebra A of an arbitrary finite inverse semigroup S. An alternative (inductive) characterization of 1A is presented, giving new information about how the form of 1A depends on the Vagner-Preston order in S.

Date: 1987
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DOI: 10.1007/978-94-009-3839-7_5

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