Applied Mathematics

Volume 6, Issue 2 (February 2015)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.83  Citations  

Complete Semigroups of Binary Relations Defined by Semilattices of the Class ∑1(X,10)

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DOI: 10.4236/am.2015.62026    3,307 Downloads   3,684 Views  Citations

ABSTRACT

In this paper we give a full description of idempotent elements of the semigroup BX (D), which are defined by semilattices of the class 1 (X, 10). For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of idempotent elements of the respective semigroup.

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Makharadze, S. , Aydın, N. and Erdoğan, A. (2015) Complete Semigroups of Binary Relations Defined by Semilattices of the Class ∑1(X,10). Applied Mathematics, 6, 274-294. doi: 10.4236/am.2015.62026.

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