Author:
Kozhukhov I. B.,Pryanichnikov A. M.,Simakova A. R.
Abstract
Abstract
We describe acts over rectangular bands that have modular, distributive or linearly ordered congruence lattice. It turns out that such acts have at most 11 elements, and their congruence lattice has at most 300 elements. Furthermore, certain facts are established about the structure of acts with modular congruence lattice over an arbitrary semigroup and about the structure of the congruence lattice of an act over a rectangular band. The work is based on the description of acts over a completely (0-)simple semigroup obtained by Avdeev and Kozhukhov in 2000 and on the characterization of disconnected acts with modular or distributive congruence lattice by Ptakhov and Stepanova in 2013.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Acts Over Semigroups;Journal of Mathematical Sciences;2023-01
2. S-acts over a Well-ordered Monoid with Modular Congruence Lattice;The Bulletin of Irkutsk State University. Series Mathematics;2021