The algebraic structure of the semigroup of binary relations on a finite set

Author:

Kim Ki Hang,Roush Fred William

Abstract

In this paper we study some questions proposed by B. Schein [8] regarding the semigroup of binary relationsBxfor a finite setX: what is the ideal structure ofBx, what are the congruences onBx, what are the endomorphisms ofBx? For |X| =nit is convenient to regardBxas the semigroupBnofn×n(0, l)-matrices under Boolean matrix multiplication.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. On the semigroup of binary relations on a finite set;Schwarz;Czechoslovak Math. J.,1970

2. Combinatorial Mathematics

3. Regular elements in the semigroup of binary relations (Russian);Zaretskii;Uspehi Mat. Nauk.,1962

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Publications of Ki Hang Kim;Acta Applicandae Mathematicae;2013-03-15

2. Endomorphisms of symmetric semigroups of functions on a finite set;Communications in Algebra;1998-01

3. On strong shift equivalence over a Boolean semiring;Ergodic Theory and Dynamical Systems;1986-03

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