Completely Regular Semigroups

Mario Petrich (Author), Norman R. Reilly (Author)

9780471195719, Wiley

Hardback, published 21 May 1999

496 pages
24.4 x 16.5 x 2.9 cm, 0.816 kg

"...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)

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.

Congruences.

Relations on the Congruence Lattice.

Varieties of Completely Simple Semigroups.

Malcev Product and Homomorphisms.

Bibliography.

Indexes.

Subject Areas: Mathematics [PB]