This paper investigates the class of finitely presented monoids defined by homogeneous
(length-preserving) relations from a computational perspective. The properties of admitting a …

If a finitely generated semigroup S has a hopfian (meaning: every surjective endomorphism
is an automorphism) cofinite subsemigroup T then S is hopfian too. This no longer holds if S …

This paper makes a comprehensive survey of results relating to finite Rees index for
semigroups. In particular, we survey of the state of knowledge on whether various finiteness …

Given a monoid defined by a presentation, and a homotopy base for the derivation graph
associated to the presentation, and given an arbitrary subgroup of the monoid, we give a …

In this paper we investigate how the combinatorial property finite derivation type (FDT) is
preserved in a semilattice of semigroups. We prove that if S=SY,S_α is a semilattice of …

The aim of this paper is to develop the calculus of trivializers for subsemigroups. Given a
finite presentation defining a semigroup S and a trivializer of the Squier complex of, we …

In this thesis we consider finiteness properties of infinite semigroups and infinite monoids. In
particular we investigate finite presentations which have the property finite derivation type …

In this thesis we discuss various topics from Combinatorial Semigroup Theory: automaton
semigroups; finiteness conditions and their preservation under certain semigroup theoretic …

Bu tez birinci bölüm olan giriş kısmı dışında altı bölümden oluşmaktadır. İkinci bölümde,
grup, monoid ve yarı grupların sunuşları ile ilgili hatırlatmalar yapılmış ve karar verme …

We prove that given a finite (zero) exact right decomposition (M, T) of a semigroup S, if M is
defined by a finite complete presentation, then S is also defined by a finite complete …