The utility of congruence lattices in revealing the structure of general algebras has been recognized since Garrett Birkhoff's pioneering work in the 1930s and 1940s. However, the results presented in this book are of very recent origin: most of them were developed in 1983. The main discovery presented here is that the lattice of congruences of a finite algebra is deeply connected to the structure of that algebra. The theory reveals a sharp division of locally finite varieties of algebras into six interesting new families, each of which is characterized by the behavior of congruences in the algebras. The authors use the theory to derive many new results that will be of interest not only to universal algebraists, but to other algebraists as well.
The authors begin with a straightforward and complete development of basic tame congruence theory, a topic that offers great promise for a wide variety of investigations. They then move beyond the consideration of individual algebras to a study of locally finite varieties. A list of open problems closes the work.
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Book Description Amer Mathematical Society, 1988. Book Condition: Fair. Former Library book. Shows definite wear, and perhaps considerable marking on inside. Bookseller Inventory # GRP92182165
Book Description Amer Mathematical Society, 1988. Book Condition: Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP74165940
Book Description Amer Mathematical Society, 1988. Book Condition: Good. Volume 76. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. , 500grams, ISBN:0821850733. Bookseller Inventory # 6482944