ArticleOriginal scientific text
Title
Hypersubstitutions in orthomodular lattices
Authors 1, 2
Affiliations
- Department of Algebra and Geometry, Palacký University of Olomouc, Tomkova 40, CZ-77900 Olomouc, Czech Republic
- Technische Universität Wien, Institut für Algebra und Computermathematik, Wiedner Hauptstraße 8-10, A-1040 Wien
Abstract
It is shown that in the variety of orthomodular lattices every hypersubstitution respecting all absorption laws either leaves the lattice operations unchanged or interchanges join and meet. Further, in a variety of lattices with an involutory antiautomorphism a semigroup generated by three involutory hypersubstitutions is described.
Keywords
hypersubstitution, proper hypersubstitution, orthomodular lattice, absorption algebra
Bibliography
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Pages:
83-92
Main language of publication
English
Received
2000-02-01
Published
2001
DOI: 10.7151/dmgaa.1029
Exact and natural sciences