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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1097, author = {Ivan Chajda}, title = {Note on algebraic interior systems}, journal = {Discussiones Mathematicae - General Algebra and Applications}, volume = {25}, year = {2005}, pages = {149-153}, zbl = {1099.08001}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1097} }
Ivan Chajda. Note on algebraic interior systems. Discussiones Mathematicae - General Algebra and Applications, Tome 25 (2005) pp. 149-153. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1097/
[000] [1] G. Birkoff and O. Frink, Representations of lattices by sets, Trans. Amer. Math. Soc. 64 (1948), 299-316. | Zbl 0032.00504
[001] [2] G. Gratzer, Universal Algebra, Springer-Verlag (2nd ed.), New York-Heidelberg-Berlin 1979.
[002] [3] K. Kuratowski, Topologie I, PWN, Warszawa 1958.