Subalgebra lattices of a partial unary algebra

Demonstratio mathematica

article

Konrad Pióro¹ 

[1] Institute of Mathematics, Warsaw University

关键词: weak;    relative;    strong subalgebra and initial segment;    subalgebra lattices;    unary algebra;    partial algebra;    directed and undirected graph;    strong connectivity;   

DOI  :  10.1515/dema-2013-0416

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

Necessary and sufficient conditions will be found for quadruples of lattices to be isomorphic to lattices of weak, relative, strong subalgebras and initial segments, respectively, of one partial unary algebra. To this purpose we will start with a characterization of pairs of lattices that are weak and strong subalgebra lattices of one partial unary algebra, respectively. Next, we will describe the initial segment lattice of a partial unary algebra. Applying this result, pairs of lattices of strong subalgebras and initial segments will be characterized. Further, we will characterize pairs of lattices of relative and strong subalgebras and also other pairs of subalgebra lattices of one partial unary algebra.

【 授权许可】

CC BY