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Completely Regular Semigroups

Completely Regular Semigroups

Mario Petrich, Norman R. Reilly

ISBN: 978-0-471-19571-9

Apr 1999

481 pages

Select type: Hardcover

In Stock



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 London Mathematical Society, Vol 32, 2000)

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