## Isotopes of nearlattices.(English)Zbl 0585.06001

Summary: The nature of isotopes of a near lattice is considered. By introducing the notion of a superstandard element n in a near lattice S, it is shown that for a medial element n, the n-isotope $$S_ n$$ is a semi-lattice which is also a nearlattice when n is neutral and sesquimedial. It is also shown that for a neutral sesquimedial element n, S is distributive iff $$S_ n$$ is so.

### MSC:

 06A12 Semilattices