有限秩对称逆半群的半群闭包
群论
2009-03-19 v2 一般拓扑
摘要
我们引入了具有紧理想列的半群概念，并研究了它们在半拓扑半群中的闭包，特别是具有连续逆运算的逆半群。作为推论，我们证明了秩 的有限变换对称逆半群 在具有连续逆运算的（半）拓扑逆半群类中是代数闭的。我们还推导了关于所考虑半群类不存在（部分）紧致化的相关结果。
引用
@article{arxiv.0804.1439,
title = {Semigroup Closures of Finite Rank Symmetric Inverse Semigroups},
author = {Oleg Gutik and Jimmie Lawson and Dušan Repovš},
journal= {arXiv preprint arXiv:0804.1439},
year = {2009}
}
备注
With the participation of the new coauthor - Jimmie Lawson - the manuscript has been substantially revised and expanded. Accordingly, we have also changed the manuscript title