ArticleOriginal scientific text
Title
Ring-like operations is pseudocomplemented semilattices
Authors 1, 2
Affiliations
- Department of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic
- Technische Universität Wien, Institut für Algebra und Computermathematik, Abteilung für Mathematik in den Naturwissenschaften, Wiedner Hauptstraße 8-10, A-1040 Wien
Abstract
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
Bibliography
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Pages:
87-95
Main language of publication
English
Received
1998-09-21
Accepted
1999-06-07
Published
2000
DOI: 10.7151/dmgaa.1008
Exact and natural sciences