On Idempotent Elements of The Semigroup of Binary Relations


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

In the paper, we consider the complete semigroup of binary relations defined by semilattices of the class Σ3(X, 8). We give a full description of idempotent elements for the case where X is a finite set and Z7 ≠ Ø and obtain the formulas for the number of idempotent elements of the corresponding semigroup.

About the authors

G. Tavdgiridze

Shota Rustaveli Batumi State University

Author for correspondence.
Email: g.tavdgiridze@mail.ru
Georgia, Batumi

Ya. Diasamidze

Shota Rustaveli Batumi State University

Email: g.tavdgiridze@mail.ru
Georgia, Batumi

O. Givradze

Shota Rustaveli Batumi State University

Email: g.tavdgiridze@mail.ru
Georgia, Batumi

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2016 Springer Science+Business Media New York