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 …

This book introduces recently developed ideas and techniques in semigroup theory to
provide a handy reference guide previously unavailable in a single volume. The opening …

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PREFACE Group theory evolved from the consideration of invertlble transformations.
Indeed~ the term group itself is due in the technical sense to Galols who was~ of course …

A very general question in the theory of semigroups is: From information about the
idempotents of a semigroup what information can be deduced about the semigroup? This …

In [1], JM Howie considered the semigroup of transformations of sets and proved (Theorem
1) that every transformation of a finite set which is not a permutation can be written as a …

It is well-known (see [2]) that the finite symmetric group Sn has rank 2. Specifically, it is
known that the cyclic permutationsgenerate Sn,. It easily follows (and has been observed by …

In an earlier paper (5) a description was given in set-theoretic terms of the semigroup
generated by the idempotents of a full transformation semigroup, one of the results being …

Let Singn be the subsemigroup of singular elements of the full transformation semigroup on
a totally ordered finite set with n elements. Let be the subsemigroup of all decreasing maps …

An automaton (consisting of a finite set of states with given transitions) is said to be
synchronizing if there is a word in the transitions which sends all states of the automaton to a …