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ArticleOriginal scientific text

Title

Remarks on pseudo MV-algebras

Authors 1, 1

Affiliations

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

Abstract

Pseudo MV-algebras (see e.g., [4, 6, 8]) are non-commutative extension of MV-algebras. We show that every pseudo MV-algebra is isomorphic to the algebra of action functions where the binary operation is function composition, zero is x ∧ y and unit is x. Then we define the so-called difference functions in pseudo MV-algebras and show how a pseudo MV-algebra can be reconstructed by them.

Keywords

ENG
pseudo MV-algebra, action function, guard function, difference functions

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2009/29/1
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Pages:
5-19
Main language of publication
English
Received
2007-10-19
Accepted
2008-04-01
Published
2009

DOI: 10.7151/dmgaa.1148

Exact and natural sciences