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 3-88538-219-9, 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
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W. J. Blok, D. L. Pigozzi
-
Algebraic Semantics for Universal Horn Logic Without Equality
1--56
G. Graetzer, A. Kisielewicz-
A Survey of Some Open Problems on pn-Sequences and Free Sprectra of Algebras and Varieties
57--88
A. A. Gvaramiya, B. I. Plotkin-
The Homotopies of Quasigroups and Universal Algebras
89--100
K. W. Johnson-
Some Historical Aspects of the Representation Theory of Groups and its Extension to Quasigroups
101--118
T. Kepka-
Multiplication Groups of Quasigroups and Loops
119--122
J. Plonka, A. Romanowska-
Semilattice Sums
123--158
R. W. Quackenbush-
Quasigroups, Universal Algebra and Combinatorics
159--172
A. Romanowska-
Mal'cev Modes, Affine Spaces and Barycentric Algebras
173--194
J. D. H. Smith-
Quasigroups Representation Theory
195--208
A. Szendrei-
A Survey on Strictly Simple Algebras and Minimal Varieties
209--240