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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 Kongruenzklassenverbšnde 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