The Shape of Congruence Lattices

(Memoirs of the American Mathematical Society)

51lcPG2nTfL._SY291_BO1,204,203,200_QL40_ Author Emil W. Kiss and Keith A. Kearnes
Isbn 9780821883235
File size 1.31MB
Year 2013
Pages 169
Language English
File format PDF
Category Mathematics

Book Description:

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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