The Shape of Congruence Lattices
Download or Read eBook The Shape of Congruence Lattices PDF 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.
Author | : Keith Kearnes |
Publisher | : American Mathematical Soc. |
Total Pages | : 183 |
Release | : 2013-02-26 |
ISBN-10 | : 9780821883235 |
ISBN-13 | : 0821883232 |
Rating | : 4/5 (35 Downloads) |
Book Synopsis The Shape of Congruence Lattices by : Keith Kearnes
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.