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ArticleOriginal scientific text

Title

A groupoid characterization of Boolean algebras

Authors 1

Affiliations

  1. Department of Algebra and Geometry, Palacký University of Olomouc, Tomkova 40; 779 00 Olomouc, Czech Republic

Abstract

We present a groupoid which can be converted into a Boolean algebra with respect to term operations. Also conversely, every Boolean algebra can be reached in this way.

Keywords

ENG
groupoid, Boolean algebra, semi-bolean algebra, involution, dualautomorphism (or antiautomorphism)

Bibliography

  1. J.C. Abbott, Semi-boolean algebra, Mat. Vestnik 4 (1967), 177-198.
  2. G. Birkhoff, Lattice Theory, third edition, Publ. Amer. Math. Soc., Providence, RI, 1967.
  3. J. Dudek, Polynomials in idempotent commutative groupoids, Dissert. Math. 286 (1989), 1-59.
Discussiones Mathematicae - General Algebra and Applications
2004/24/2
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Pages:
177-184
Main language of publication
English
Received
2003-12-23
Accepted
2004-12-29
Published
2004

DOI: 10.7151/dmgaa.1083

Exact and natural sciences