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Completely Regular Semigroups

Mario Petrich, Norman R. Reilly

ISBN: 978-0-471-19571-9 April 1999 481 Pages


Present a systematic treatment of completely regular semigroups, from introductory to research level, comprised of preliminaries on lattices, semigroups, varieties, and complete regularity; congruences and relations on the congruence lattice; and varieties of completely regular semigroups through kernals, and traces of congruences and Malcev products.
Lattices, Semigroups, and Varieties.

Complete Regularity.

Completely Simple Semigroups.

Normal Cryptogroups.

Regular Orthogroups.


Relations on the Congruence Lattice.

Varieties of Completely Simple Semigroups.

Malcev Product and Homomorphisms.


"...a thorough and readable account..." (Bulletin of LondonMathematical Society, Vol 32, 2000)

"A large portion of this book is devoted to such special classes ofcompletely regular semigroups: completely simple semigroups, normalcryptogroups an regular othogroups the lattice of congruences of acompletely regular semigroup..." (Zentralblatt MATH, Vol. 967,2001/17)