Matrix Characterization of 4-Ary Algebraic Operations of Idempotent Algebras |
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| Authors: | J Pashazadeh Yu Movsisyan |
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| Institution: | 1. Islamic Azad University , Bonab , Iran jm_pashazadeh@yahoo.com;3. Department of Mathematics , Yerevan State University , Armenia |
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| Abstract: | Let (U; F) be an idempotent algebra. There is an r-ary essentially algebraic operation in F where there is not any (r + 3)-ary algebraic operation depending on at least r + 1 variables. In this paper, we prove that the set of all 4-ary algebraic operations of this algebras forms a finite De Morgan algebra, and then we characterize this De Morgan algebra. |
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| Keywords: | 4-ary algebraic operation Algebraic (or polynomial) operation De Morgan algebra Idempotent algebra Matrix product |
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