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ArticleOriginal scientific text

Title

Two constructions of De Morgan algebras and De Morgan quasirings

Authors 1, 2

Affiliations

  1. Department of Algebra and Geometry, Palacky University Olomouc, Trida 17. listopadu 12, 771 46 Olomouc, Czech Republic
  2. Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstraße 8-10/104, 1040 Vienna, Austria

Abstract

De Morgan quasirings are connected to De Morgan algebras in the same way as Boolean rings are connected to Boolean algebras. The aim of the paper is to establish a common axiom system for both De Morgan quasirings and De Morgan algebras and to show how an interval of a De Morgan algebra (or De Morgan quasiring) can be viewed as a De Morgan algebra (or De Morgan quasiring, respectively).

Keywords

ENG
De Morgan algebra, De Morgan quasiring, D-algebra, interval algebra, Boolean element

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Discussiones Mathematicae - General Algebra and Applications
2009/29/2
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Pages:
169-180
Main language of publication
English
Received
2009-04-30
Accepted
2009-05-19
Published
2009

DOI: 10.7151/dmgaa.1156

Exact and natural sciences