1 citations · 3 across the 9 of their papers we have counts for
13 papers
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…
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…
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…
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…
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…
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…
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 be a finite right (left) restriction…
Diamond Subgraphs in the Reduction Graph of a One-Rule String Rewriting System
Arthur Adinayev, Itamar Stein
In this paper, we study a certain case of a subgraph isomorphism problem. We consider the Hasse diagram of the lattice (the unique lattice with elements and one anti-…
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 -set. The monoid of all order-preserving functions (i.e., functions satisfying $f(x)…
The global dimension of the algebra of the monoid of all partial functions on an -set as the algebra of the EI-category of epimorphisms between subsets
Itamar Stein
We prove that the global dimension of the complex algebra of the monoid of all partial functions on an n-set is for all . This is also the global dimension of the co…
The Littlewood-Richardson rule for wreath products with symmetric groups and the quiver of the category
Itamar Stein
We give a new proof for the Littlewood-Richardson rule for the wreath product where is a finite group. Our proof does not use symmetric functions but more element…
Algebras of Ehresmann semigroups and categories
Itamar Stein
-Ehresmann semigroups are a commonly studied generalization of inverse semigroups. They are closely related to Ehresmann categories in the same way that inverse semigroups are r…
The representation theory of the monoid of all partial functions on a set and related monoids as EI-category algebras
Itamar Stein
The (ordinary) quiver of an algebra is a graph that contains information about the algebra's representations. We give a description of the quiver of , the alg…