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Research and Exposition in Mathematics  Volume 19
Enlarged Picture
A. Romanowska, J. D. H. Smith (eds.)
Universal Algebra and Quasigroup Theory
250 p., soft cover, ISBN 3885382199, EUR 35.00, 1992
The two fields of universal algebra and quasigroup theory have long enjoyed a symbiotic
relationship. Universal algebraic principles reveal that quasigroup theory may achieve
the depth and applicability of group theory. On the other hand, concepts from quasigroup
theory (such as centrality and isotopy) are now having a marked influence on the general
course of universal algebra. The 10 papers in this volume present results ranging across
the spectrum from universal algebra to quasigroup theory, the fruit of recent interaction
between schools in Central Europe and North America.
Contents

W. J. Blok, D. L. Pigozzi

Algebraic Semantics for Universal Horn Logic Without Equality
156
G. Graetzer, A. Kisielewicz
A Survey of Some Open Problems on p_{n}Sequences and Free Sprectra of Algebras and Varieties
5788
A. A. Gvaramiya, B. I. Plotkin
The Homotopies of Quasigroups and Universal Algebras
89100
K. W. Johnson
Some Historical Aspects of the Representation Theory of Groups and its Extension to Quasigroups
101118
T. Kepka
Multiplication Groups of Quasigroups and Loops
119122
J. Plonka, A. Romanowska
Semilattice Sums
123158
R. W. Quackenbush
Quasigroups, Universal Algebra and Combinatorics
159172
A. Romanowska
Mal'cev Modes, Affine Spaces and Barycentric Algebras
173194
J. D. H. Smith
Quasigroups Representation Theory
195208
A. Szendrei
A Survey on Strictly Simple Algebras and Minimal Varieties
209240
