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Öğe Regular elements of the complete semigroups of binary relations of the class ?7(X, 8)(2013) Albayrak, Bariş; Diasamidze, I. Yasha; Aydin, NeşetIn this paper let Q = {T1, T2, T3, T 4, T5, T6, T7, T8} be a subsemilattice of X-semilattice of unions D where T1 ? T 2 ? T3 ? T5 ? T6 ? T8, T1 ? T2 ? T3 ? T5 ? T7 ? T8, T1 ? T2 ? T4 ? T5 ? T6 ? T8, T1 ? T2 ? T4 ? T5 ? T7 ? T8, T1 ? ?, T4\T3 ? ?, T3\T4 ? ?, T6\T7 ? ?, T7\T 6 ? ?, T3 ? T4 = T5, T6 ? T7 = T8, then we characterize the class each element of which is isomorphic to Q by means of the characteristic family of sets, the characteristic mapping and the generate set of Q. Moreover, we calculate the number of regular elements of BX(D) for a finite set X. © 2013 Academic Publications, Ltd.