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Paper detail

Representation Theory of Finite Semigroups over Semirings

We develop the representation theory of a finite semigroup over an arbitrary commutative semiring with unit, in particular classifying the irreducible and minimal representations. The results for an arbitrary semiring are as good as the results for a field. Special attention is paid to the boolean semiring, where we also characterize the simple representations and introduce the beginnings of a character theory.

preprint2010arXivOpen access
Zur IzhakianJohn RhodesBenjamin Steinberg
math.RTmath.RA
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Zur IzhakianJohn RhodesBenjamin Steinberg

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