Ring-like operations are introduced in pseudocomplemented semilattices in such a way that in the case of Boolean pseudocomplemented semilattices one obtains the corresponding Boolean ring operations. Properties of these ring-like operations are derived and a characterization of Boolean pseudocomplemented semilattices in terms of these operations is given. Finally, ideals in the ring-like structures are defined and characterized.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1008,
author = {Ivan Chajda and Helmut L\"anger},
title = {Ring-like operations is pseudocomplemented semilattices},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {20},
year = {2000},
pages = {87-95},
zbl = {0968.06004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1008}
}
Ivan Chajda; Helmut Länger. Ring-like operations is pseudocomplemented semilattices. Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000) pp. 87-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1008/
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