This book is an indispensable source for anyone with an interest in semigroup theory or
whose research overlaps with this increasingly important and active field of mathematics. It …

Epimorphisms and Dominions*' ** Page 1 Epimorphisms and Dominions*' ** By JOHN R.
ISBELL Introduction According to Grothendieck's definition, which is by now standard in part of …

Recalling the principal definitions in [3], we say that a subsemigroup A of a semigroup 3
dominates an element din B if, for an arbitrary semigroup C and arbitrary homomorphisms f …

This thesis is about trying to understand various aspects of partial symmetry using ideas
from semigroup and category theory. In Chapter 2 it is shown that the left Rees monoids …

The following algebraic characterization of the computational complexity of the word
problem for finitely generated semigroups is proved, in the form of a refinement of the …

We show that any almost unitary subsemigroup of a semigroup is closed in the containing
semigroup and that the class of all left [right] regular semigroups is closed. Finally, we show …

We study inverse semigroup amalgams of the form S* UT where S and T are free inverse
semigroups and U is an arbitrary finitely generated inverse subsemigroup of S and T. We …

In mathematics, one frequently encounters constructions of a pathological or critical nature.
In this thesis we investigate such structures in semigroup theory with a particular aim of …

In this paper we give a brief account of the basic results in the theory of linear Ω-algebras.
Particular attention is paid to research of recent years, and the connections of the theory of …

We begin our study of amalgamations by examining some ideas which are well-known for
the category of R-modules. In particular we look at such notions as direct limits, pushouts …