Geodesic
Ring-like operations is pseudocomplemented semilattices
Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 87-95

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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.
Keywords: pseudocomplemented semilattice, Boolean algebra, Boolean ring, distributivity, linear equation, ideal, congruence kernel 
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Chajda, Ivan; Länger, Helmut. Ring-like operations is pseudocomplemented semilattices. Discussiones Mathematicae. General Algebra and Applications, Tome 20 (2000) no. 1, pp. 87-95. http://geodesic.mathdoc.fr/item/DMGAA_2000_20_1_a7/