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Ring-like operations is pseudocomplemented semilattices

Ivan Chajda, Helmut Länger (2000)

Discussiones Mathematicae - General Algebra and Applications

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.

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