A construction of regular semigroups with quasiideal regular *-transversals

• Date: 2016
• Main Authors: Wang, Shou-Feng, Ван, Шо-Фен
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1941
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $S$ be a semigroup and let “$\ast$ ” be a unary operation on S satisfying the following identities: $$xx^{\ast} x = x, x^{\ast} xx^{\ast} = x^{\ast},\; x^{\ast \ast \ast} = x^{\ast},\; (xy^{\ast} )^{\ast} = y^{\ast \ast} x^{\ast},\; (x^{\ast} y)^{\ast} = y^{\ast} x^{\ast \ast}.$$ Then S\ast...