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Universal algebra. Fundamentals and selected topics. (English)
Pure and Applied Mathematics (Boca Raton) 301. Boca Raton, FL: CRC Press (ISBN 978-1-4398-5129-6/hbk). xi, 308~p. (2012).
This book consists of two parts. In the first one the fundamentals of universal algebra are presented in such a way that they are understandable also for newcomers to the field. The second part is devoted to selected topics which demonstrate the power and usefulness of the universal algebraic toolbox. These selected topics include Jónsson’s lemma, finitely and non-finitely based algebras, definable principal congruences, primal and quasiprimal algebras, directly representable varieties as well as tame congruence theory. Throughout the book diagrams and selected exercises help the reader to understand the text. A bibliography, a list of symbols and an index make the book complete. This book is a standard reference in universal algebra.
Reviewer: Helmut Länger (Wien)
Classification: H75
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