The Shape of Congruence Lattices

The Shape of Congruence Lattices
Author :
Publisher : American Mathematical Soc.
Total Pages : 183
Release :
ISBN-10 : 9780821883235
ISBN-13 : 0821883232
Rating : 4/5 (232 Downloads)

Book Synopsis The Shape of Congruence Lattices by : Keith Kearnes

Download or read book The Shape of Congruence Lattices written by Keith Kearnes and published by American Mathematical Soc.. This book was released on 2013-02-26 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the relationships between Maltsev conditions, commutator theories and the shapes of congruence lattices in varieties of algebras. The authors develop the theories of the strong commutator, the rectangular commutator, the strong rectangular commutator, as well as a solvability theory for the nonmodular TC commutator. They prove that a residually small variety that satisfies a congruence identity is congruence modular.


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