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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
G. Lallement, Semigroups and Combinatorial Applications, Wiley, New York, 1979
W. D. Munn, ‘Matrix representations of semigroups’, Proc. Cambridge Phil. Soc. 53 (1957), 5–12.
G.-C. Rota, ‘On the foundations of combinatorial theory I. Theory of Möbius functions’, Zeit. Wahrscheinlichkeit 2 (1964), 340–368.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 D. Reidel Publishing Company
About this chapter
Cite this chapter
Drazin, M.P. (1987). The Identity Element in Inverse Semigroup Algebras. In: Goberstein, S.M., Higgins, P.M. (eds) Semigroups and Their Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3839-7_5
Download citation
DOI: https://doi.org/10.1007/978-94-009-3839-7_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8209-9
Online ISBN: 978-94-009-3839-7
eBook Packages: Springer Book Archive