On a power of $n$-ary relational systems carried by strong homomorphisms

N. Phrommarat;


In this paper, we introduce and study a new operation of product of n-ary relational systems which lies between their direct product and the direct product of their reflexive hulls. Moreover, we study the subsystem of the direct power of n-ary relatioal systems carried by the strong homomorphisms. We show that, with respect to the product introduced and the strong homomorphisms, weak forms of the first and second exponential laws are valid and the third exponential law is satisfied.

Vol. 19 (2018), No. 1, pp. 483-490
DOI: 10.18514/MMN.2018.2383

Download: MMN-2383