JP Journal of Algebra, Number Theory and Applications
Volume 20, Issue 2, Pages 135 - 145
(March 2011)
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AN ABSTRACT CHARACTERIZATION OF DEMORGAN
-SEMIGROUP OF 4-ARY FUNCTIONS OVER A SET
R. Lotfikar and J. Pashazadeh
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Abstract: Let W be a set and
?be the set of all 4-ary functions over W. In this paper, by considering four Mann?s compositions and one quasi-complementation operation on
?we obtain a DeMorgan
-semigroup and find an abstract characterization of this algebra. |
Keywords and phrases:
-semigroup, DeMorgan
-semigroup, binary operations on 4-ary functions, Mann?s composition, characterization. |
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