L-半格的性质

Properties of L-Semilattice

格作用在半格上得到L-半格,它有自己特有的结构和性质.本文主要讨论了具有最大元的格作用在半格上得到的L-半格的分解性和平坦性.同时,还介绍了L-半格的同余关系、余直积以及张量积的一些性质.

A L-semilattice is produced when a lattice acts on a semilattice; it has its own particular properties. The decomposation and flatness of a L-semilattice when the lattice L has a greatest element are discussed primarily. Meanwhile, some properties of the congruent relation, the coproduct, and the tensor product of a L-semilattice, are discribed too.