Itamar Stein

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20182021

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math.RT2021

Algebras of Reduced $E$ -Fountain Semigroups and the Generalized Ample Identity

Itamar Stein

Let $S$ be a reduced $E$ -Fountain semigroup. If $S$ satisfies the congruence condition, there is a natural construction of a category $C$ associated with $S$ . We define a…

math.RT2020

Ehresmann Semigroups Whose Categories are EI and Their Representation Theory : Extended Version

Stuart Margolis, Itamar Stein

We study simple and projective modules of a certain class of Ehresmann semigroups, a well-studied generalization of inverse semigroups. Let $S$ be a finite right (left) restriction…

math.RT2018

Representation theory of order-related monoids of partial functions as locally trivial category algebras

Itamar Stein

In this paper we study the representation theory of three monoids of partial functions on an $n$ -set. The monoid of all order-preserving functions (i.e., functions satisfying $f(x)…

Algebras of Reduced E-Fountain Semigroups and the Generalized Ample Identity

Ehresmann Semigroups Whose Categories are EI and Their Representation Theory : Extended Version

Representation theory of order-related monoids of partial functions as locally trivial category algebras

Algebras of Reduced $E$ -Fountain Semigroups and the Generalized Ample Identity