Fundamentals; Free inverse semigroups and the theorems of McAlister; Biordered sets; Zigzags and their applications; Semigroup diagrams and word problems; Combinatorial aspects of transformation semigroups; References; Glossary of notation; Index.
'This book introduces recently developed ideas in semigroup theory
and serves to provide a handy reference guide previously
unavailable in a single volume.'
L'Enseignement Mathématique, 1992
'fresh and well-written book ... Graphical and diagram arguments
make proofs intuitive and elegant.'
J. Henno, Zentralblatt für Mathematik und ihre Grenzgebiete
Mathematics Abstracts
'Nearly two thirds of the content appear here for the first time in
book-form, written in a fresh and stimulating style. New emphases
and new connections in the presentation make this book a pleasure
to read.'
H. Mitsch, Monatshelfe für Mathematik, Vol. 116, No. 2, 1993
'Refreshingly lively and down-to-earth, with many new results
(using semigroup diagrams to treat word problems) and new proofs,
e.g., of Isbell's zigzag theorem, which is then applied to study
amalgams.'
Mathematika, 39 (1992)
`The book is written with clarity, the proofs and arguments are
usually presented in a brief and elegant way, and even familiar
things are often viewed from a fresh perspective. Although the pace
is fast, this enviably crisp and clear exposition is a pleasure to
read. It will be very useful for semigroup theorists and graduate
students as well as for specialists in other fields who may use it
as a reference. Altogether, this is a most welcome addition to
the available monographs on semigroups.'
Boris M. Schein, Semigroup Forum Vol. 49 (1994)
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