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Idempotent and Regular Elements of the Complete Semigroups of Binary Relations of the Class ∑3(X,9)

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DOI: 10.4236/am.2015.62029    2,813 Downloads   3,138 Views  

ABSTRACT

In this paper, we take Q16 subsemilattice of D and we will calculate the number of right unit, idempotent and regular elements α of BX (Q16) satisfied that V (D, α) = Q16 for a finite set X. Also we will give a formula for calculate idempotent and regular elements of BX (Q) defined by an X-semilattice of unions D.

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Albayrak, B. and Aydın, N. (2015) Idempotent and Regular Elements of the Complete Semigroups of Binary Relations of the Class ∑3(X,9). Applied Mathematics, 6, 312-318. doi: 10.4236/am.2015.62029.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Diasamidze, Ya. and Makharadze, Sh. (2013) Complete Semigroups of Binary Relations. Kriter Yay1nevi, Istanbul, 524 p.
[2] Albayrak, B., Aydin, N. and Diasamidze, Ya. (2013) Reguler Elements of the Complete Semigroups of Binary Relations of the Class ∑7(X,8). International Journal of Pure and Applied Mathematics, 86, 199-216.
http://dx.doi.org/10.12732/ijpam.v86i1.13
[3] Yesil Sungur, D. and Aydin, N. (2014) Reguler Elements of the Complete Semigroups of Binary Relations of the Class ∑8(X,7). General Mathematics Notes, 21, 27-42.
[4] Albayrak, B., Aydin, N. and Yesil Sungur, D. (2014) Regular Elements of Semigroups Defined by the Generalized X-Semilattice. General Mathematics Notes, 23, 96-107.

  
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