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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.

applied mathematics

Idempotent and Regular Elements of the Complete Semigroups of Binary Relations of the Class &amp;amp;sum;&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;(&amp;lt;i&amp;gt;X&amp;lt;/i&amp;gt;,9)