The q-theory of Finite Semigroups

405 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Subgroups of free idempotent generated semigroups need not be free (2008, background): “In the language of semigroup theory, f s is the image of s under the right Schutzenberger representation of S(Γ ) [1,25].”
Supertropical linear algebra (2010, background): “Modules over semirings (often called “semimodules” in the literature [16], or sometimes “cones”) are defined just as modules over rings, except that now the additive structure is that of a semigroup instead of a group.”
Quivers of monoids with basic algebras (2011, background): “2 The action in (6.2) is a variation on the classical Schützenberger representation [CP61, RS09, KRT68], and has been considered before in the literature, eg.”
On the irreducible representations of a finite semigroup (2007, neutral): “R T ] 1 9 D ec”
Möbius functions and semigroup representation theory II: Character formulas and multiplicities (2006, methodology): “This last section will be more demanding of the reader in terms of semigroup theoretic background, but most of the necessary background can be found in [4,11,18, 38 ].”