WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Some Results on Partially Ordered Sets Involving Permuting n-derivations
Authors: ,
Abstract: The main objective of the present work, as a generalization of derivation, is to give the concept of permuting
n-derivations on partially ordered sets (posets). Several associated theorems and fondamental properties
involving permuting n-derivations are presented. Moreover, we demonstrate that if $$D$$ is a permuting n-derivation
on poset $$G$$ with the greatest element 1 and the trace $$δ$$, then $$δ(1) = 1$$ if and only if $$δ$$ is an identity on $$G$$. Furthermore,
we discuss the relations among derivations, ideals and fixed sets in posets.