Note on algebraic interior systems

Ivan Chajda

Discussiones Mathematicae - General Algebra and Applications (2005)

  • Volume: 25, Issue: 2, page 149-153
  • ISSN: 1509-9415

Abstract

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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.

How to cite

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Ivan Chajda. "Note on algebraic interior systems." Discussiones Mathematicae - General Algebra and Applications 25.2 (2005): 149-153. <http://eudml.org/doc/287727>.

@article{IvanChajda2005,
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.},
author = {Ivan Chajda},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {interior system; algebraic closure system; interior algebraic system; closure systems; representation; interior systems},
language = {eng},
number = {2},
pages = {149-153},
title = {Note on algebraic interior systems},
url = {http://eudml.org/doc/287727},
volume = {25},
year = {2005},
}

TY - JOUR
AU - Ivan Chajda
TI - Note on algebraic interior systems
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2005
VL - 25
IS - 2
SP - 149
EP - 153
AB - 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.
LA - eng
KW - interior system; algebraic closure system; interior algebraic system; closure systems; representation; interior systems
UR - http://eudml.org/doc/287727
ER -

References

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  1. [1] G. Birkoff and O. Frink, Representations of lattices by sets, Trans. Amer. Math. Soc. 64 (1948), 299-316. Zbl0032.00504
  2. [2] G. Gratzer, Universal Algebra, Springer-Verlag (2nd ed.), New York-Heidelberg-Berlin 1979. 
  3. [3] K. Kuratowski, Topologie I, PWN, Warszawa 1958. 

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