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The Shape of Congruence Lattices (Memoirs of the American Mathematical Society)

Posted By: Nice_smile)
Date: 14 Feb 2017 18:10:49
The Shape of Congruence Lattices (Memoirs of the American Mathematical Society)

The Shape of Congruence Lattices (Memoirs of the American Mathematical Society) by Keith A. Kearnes
English | 2013 | ISBN: 0821883232 | 169 Pages | PDF | 1.31 MB

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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