The Shape of Congruence Lattices

Keith A. Kearnes, Emil W. Kiss (Autoren)

Buch | Softcover

169 Seiten

2013
American Mathematical Society (Verlag)
978-0-8218-8323-5 (ISBN)

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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.

Keith A. Kearnes, University of Colorado, Boulder, CO, USA Emil W. Kiss, Lorand Eotvos University, Budapest, Hungary

Introduction Preliminary notions Strong term conditions Meet continuous congruence identities Rectangulation A theory of solvability Ordinary congruence identities Congruence meet and join semidistributivity Residually small varieties Problems Appendix A. Varieties with special terms Bibliography Index

Erscheint lt. Verlag	28.5.2013
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Gewicht	215 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-8218-8323-2 / 0821883232
ISBN-13	978-0-8218-8323-5 / 9780821883235
Zustand	Neuware