Subtraction-like operations in nearsemilattices. (English) Zbl 1228.06001
The author studies some types of subtraction-like operations on posets and associates to such operations a family of partial operations on every initial segment; these operations are thought as local complementations. The author states some connection between the properties of a subtraction on a nearsemilattice and its distributivity.
Reviewer: A. Borumand Saeid (Kerman)
MSC:
06A06 | Partial orders, general |
03G25 | Other algebras related to logic |
06A12 | Semilattices |
06F35 | BCK-algebras, BCI-algebras |