格群的拟簇

Quasi-Varieties of Lattice Groups

引进并讨论了ｌ－群的拟簇，证明了ｌ－群的拟簇由其对应的拟簇根式映射所唯一决定，并给出了拟簇根式的若干性质。还证明了两个拟簇的乘积仍是一个拟簇，所有拟簇的全体构成一个格序半群，且乘法对格运算满足分配律。

n this paper quasi-varieties of l-groups are introduced and discussed.The author proves that a quasi-variety of l-groups is uniquely determined by its corresponding quasi-variety radical mapping and give some properties of quasi-variety radicals.It is also proved that the product of two quasi-variety is a quasi-variety and the set Tof all quasi-varieties is a lattice-ordered semi-group.