3 papers
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 be a finite right (left) restriction…
cs.DM2019
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-…
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 -set. The monoid of all order-preserving functions (i.e., functions satisfying $f(x)…