Gauge Inverse Monoids

• 作者: Emil Daniel Schwab
• 来源期刊: 代数集刊（英文版）
• 关键词: inverse semigroup gauge inverse monoid polycyclic monoid
• 年，卷（期）: 2020,（2）
• 页码范围: 181-192
• 页数: 12页
• 语种: 英文
• DOI: 10.1142/S1005386720000152

摘要

The paper introduces a class of inverse (sub)monoids which contains Jones-Lawson's gauge inverse (sub)monoid.The aim is to give examples and the basic properties of these monoids.Jones-Lawson's gauge inverse monoid,as an inverse submonoid of the polycyclic monoid,is the prototype in our development line.The generalization leads also to Meakin-Sapir type results involving bijections between special congruences and special wide inverse submonoids.