Right regular triples of semigroups

2022/11/12 by Tóth, Csaba
#20M10 #20M30 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2211.06600

Abstract

Let \cal M(S; Λ; P) denote a Rees I× Λ matrix semigroup without zero over a semigroup S, where I is a singleton. If θ_S denotes the kernel of the right regular representation of a semigroup S, then a triple A, B, C of semigroups is said to be right regular, if there are mappings A\stackrelP\longleftarrowB and B\stackrelP'\longrightarrowC such that \cal M(A; B; P)/θ_\cal M(A; B; P)≅ \cal M(C; B; P'). In this paper we examine right regular triples of semigroups.

Related

• On special Rees matrix semigroups over semigroups
• On Special Semigroups Derived From an Arbitrary Semigroup
• Samira Hosseinzadeh Alikhalaji, Mojtaba Sedaghatjoo and Mohammad Roueentan
• The regular part of transformation semigroups that preserve double direction equivalence relation
• Left reductive regular semigroups