id: 05960282
dt: b
an: 2013f.00587
au: Bergman, Clifford
ti: Universal algebra. Fundamentals and selected topics.
so: Pure and Applied Mathematics (Boca Raton) 301. Boca Raton, FL: CRC Press
(ISBN 978-1-4398-5129-6/hbk). xi, 308~p. (2012).
py: 2012
pu: Boca Raton, FL: CRC Press
la: EN
cc: H75
ut: universal algebra; Jónsson’s lemma; finitely based algebra; definable
principal congruence; primal algebra; quasiprimal algebra; directly
representable variety; tame congruence theory
ci:
li:
ab: 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.
rv: Helmut Länger (Wien)