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ArticleOriginal scientific text

Title

Note on algebraic interior systems

Authors 1

Affiliations

  1. Department of Algebra and Geometry, Palacký University of Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic

Abstract

We get an interrelation between an algebraic closure system and its conjugated interior system. We introduce the concept of algebraic interior system and we get its representation.

Keywords

ENG
interior system, algebraic closure system, interior algebraic system

Bibliography

  1. G. Birkoff and O. Frink, Representations of lattices by sets, Trans. Amer. Math. Soc. 64 (1948), 299-316.
  2. G. Gratzer, Universal Algebra, Springer-Verlag (2nd ed.), New York-Heidelberg-Berlin 1979.
  3. K. Kuratowski, Topologie I, PWN, Warszawa 1958.
Discussiones Mathematicae - General Algebra and Applications
2005/25/2
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Pages:
149-153
Main language of publication
English
Received
2004-03-28
Published
2005

DOI: 10.7151/dmgaa.1097

Exact and natural sciences