Applied Mathematics

Volume 7, Issue 3 (February 2016)

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

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Idempotent Elements of the Semigroups Bx(D) Defined by Semilattices of the Class ∑3(x,8) When Z7‡ Ø

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DOI: 10.4236/am.2016.73019    2,007 Downloads   2,377 Views  Citations

ABSTRACT

In the paper, complete semigroup binary relation is defined by semilattices of the class . We give a full description of idempotent elements of given semigroup. For the case where X is a finite set and , we derive formulas by calculating the numbers of idempotent elements of the respective semigroup.

Share and Cite:

Tavdgiridze, G. , Diasamidze, Y. and Givradze, O. (2016) Idempotent Elements of the Semigroups Bx(D) Defined by Semilattices of the Class ∑3(x,8) When Z7‡ Ø. Applied Mathematics, 7, 193-218. doi: 10.4236/am.2016.73019.

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