Idempotent Elements of the Semigroup BX(D) Defined by Semilattices of the Class Σ2(X, 8)


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A complete semigroup of binary relations is defined by semilattices of the class Σ2(X, 8). A description of idempotent elements of this semigroup is given. For the case where X is a finite set and Z7Z6 ≠ ∅, formulas are derived by calculating the number of idempotent elements of the semigroup.

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N. Tsinaridze

Shota Rustaveli Batumi State University

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Email: ninocinaridze@mail.ru
格鲁吉亚, Batumi

Sh. Makharadze

Shota Rustaveli Batumi State University

Email: ninocinaridze@mail.ru
格鲁吉亚, Batumi

N. Rokva

Shota Rustaveli Batumi State University

Email: ninocinaridze@mail.ru
格鲁吉亚, Batumi

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