ArticleOriginal scientific text
Title
A common approach to directoids with an antitone involution and D-quasirings
Authors 1, 1
Affiliations
- Department of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic
Abstract
We introduce the so-called DN-algebra whose axiomatic system is a common axiomatization of directoids with an antitone involution and the so-called D-quasiring. It generalizes the concept of Newman algebras (introduced by H. Dobbertin) for a common axiomatization of Boolean algebras and Boolean rings.
Keywords
directoid, antitone involution, D-quasiring, DN-algebra, a-mutation
Bibliography
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Pages:
139-145
Main language of publication
English
Received
2007-05-18
Accepted
2007-07-10
Published
2008
DOI: 10.7151/dmgaa.1139
Exact and natural sciences