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Discussiones Mathematicae General Algebra and Applications 25(2) (2005) 149-153
DOI: https://doi.org/10.7151/dmgaa.1097

NOTE ON ALGEBRAIC INTERIOR SYSTEMS

Ivan Chajda

Department of Algebra and Geometry
Palacký University of Olomouc
Tomkova 40, 779 00 Olomouc, Czech Republic
e-mail: chajda@inf.upol.cz

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: interior system, algebraic closure system, interior algebraic system.

2000 Mathematics Subject Classification: 08A30, 06B23.

References

[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.

Received 28 March 2004