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20152026
most citedThe algebra of the monoid of order-preserving functions on an -set and other reduced -Fountain semigroups

1 citations · 3 across the 9 of their papers we have counts for

collaborators

13 papers

math.GR2026

From stylic monoid to Catalan monoid

Itamar Stein

The stylic monoid , introduced by Abram and Reutenauer, is the quotient of the plactic monoid by the relations , and its elements are represented by -tab…

math.RT2026

The representation theory of the wreath product of a finite group with the monoid of all partial functions on a finite set as an EI-category algebra

Itamar Stein

Let be a finite group. We provide a description of the ordinary quiver of the complex monoid algebra of the wreath product , where denotes…

math.RT2025

Representation theory of monoids consisting of order-preserving functions and order-reversing functions on an n-set

Itamar Stein

Let be the monoid of all order-preserving functions and order-reversing functions on the set . We describe a quiver presentation for the mon…

math.RT2024★ 1 cited

The algebra of the monoid of order-preserving functions on an -set and other reduced -Fountain semigroups

Itamar Stein

With every reduced -Fountain semigroup which satisfies the generalized right ample condition we associate a category with zero morphisms . Under some assumpt…

math.RT2022

Algebras of reduced -Fountain semigroups and the generalized ample identity II

Itamar Stein

We study the generalized right ample identity, introduced by the author in a previous paper. Let be a reduced -Fountain semigroup which satisfies the congruence condition. W…

math.RT2021

Algebras of Reduced -Fountain Semigroups and the Generalized Ample Identity

Itamar Stein

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