Research and Exposition in Mathematics -- Volume 20
Enlarged Picture
K. Denecke, H.-J. Vogel (eds.)
General Algebra and Applications
240 p., soft cover, ISBN 3-88538-220-2, EUR 40.00, 1993
This collection of 20 articles is related to the following topics: Equational theory of
universal algebra; Mal'cev conditions; Arithmetical affine complete varieties; Theory
of clones; Duality theory and category equivalences; Lattice theory and applications;
Partial algebras; Classical structures.
Contents
Preface
-
Th. Bier
-
Totientenzahlen und simpliziale Komplexe
1--11
P. Burmeister-
Tools for a Theory of Partial Algebras
12--32
I. Chajda-
Test Algebras for Mal'cev Conditions
33--40
K. Denecke, D. Lau, R. Poeschel, D. Schweigert-
Solidifyable Clones
41--69
K. Denecke, O. Lueders-
Tolerance-Primal Algebras with One Nontrivial Tolerance, Their Dualities and Equivalences
70--85
W. Geyer-
The Class of Lattices with |L| = |Con(L)|
86--88
K. Glazek-
Morphisms of General Algebras Without Fixed Fundamental Operations
89--112
B. Gorsler, R. Thron-
On a Classification of Modules Using Generalized Identities
113--115
E. Graczynska-
EIS for Nilpotent Shifts of Varieties
116--120
K. Halkowska-
A Representation Theorem for Algebras from Varieties
Defined by P-Compatible Identities
121--125
G. Hartung-
An Extended Duality for Lattices
126--142
L. Heindorf-
Some Examples of Non-Dualizable Algebras
143--151
K. Kaarli-
On Certain Classes of Algebras Generating Arithmetical Affine Complete Varieties
152--161
A. G. Pinus-
Elementary Expressiveness in Skeletons of the Variety of Boolean Algebras and Continuum Hypothesis
162--169
J. Plonka-
Free Algebras over Regularizations of Varieties
170--179
R. Poeschel, M. Reichel-
Projection Algebras and Rectangular Algebras
180--194
A. V. Reibold-
Wann sind Kongruenzklassenverbände subdirekt reduzibel?
195--205
K. Rosenbaum-
Darstellung metazyklischer Gruppen
206--213
S. E. Schmidt-
On Prospects
214--224
S. L. Shtrakov-
On Some Transformation Groups in k-Valued Logic
225--238