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Science/Engineering Structure of Finite Algebras (Contemporary Mathematics)

Posted on 2010-03-16




Name:Science/Engineering Structure of Finite Algebras (Contemporary Mathematics)
ASIN/ISBN:0821850733
Language:English
File size:2.98 Mb
Publish Date: August 1988
ISBN: 0821850733
Pages: 203 pages
File Type: PDF
File Size: 2.98 mb
Other Info: Amer Mathematical Society
   Science/Engineering Structure of Finite Algebras (Contemporary Mathematics)

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Structure of Finite Algebras (Contemporary Mathematics)

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.

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