Author(s): Fernandes, Vítor Hugo
Date: 2026
Persistent ID: http://hdl.handle.net/10362/206129
Origin: Repositório Institucional da UNL
Subject(s): Alternating partial permutations; Congruences; Monotone; Order-preserving; Rank; General Mathematics
Document details
On monotone alternating inverse monoids
Description
In this paper, we consider the inverse submonoids AMn of monotone transformations and AOn of order-preserving transformations of the alternating inverse monoid AIn on a chain with n elements. We compute the cardinalities, describe the Green’s structures and the congruences, and calculate the ranks of these two submonoids of AIn.
Document Type
Journal article
Language English
Contributor(s) RUN; CMA - Centro de Matemática e Aplicações; DM - Departamento de Matemática; Springer Science + Business Media
Language English
Contributor(s) RUN; CMA - Centro de Matemática e Aplicações; DM - Departamento de Matemática; Springer Science + Business Media
