On One Class of Factorizable Fundamental Inverse Monoids

• Date: 2013
• Main Authors: Derech, V. D., Дереч, В. Д.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2462
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let G be an arbitrary group of bijections on a finite set and let I(G) denote the set of all partial injective transformations each of which is included in a bijection from G. The set I(G) is a fundamental factorizable inverse semigroup. We study various properties of the semigroup I(G). In particul...