Regularity in Semigroups of Quasi-onto Transformations

• Main Author: Suthin Thongrak
• Other Authors: Asst. Prof. Dr. Preeyanuch Honyam
• Format: Theses and Dissertations
• Language: English
• Published: เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่ 2020
• Online Access: http://cmuir.cmu.ac.th/jspui/handle/6653943832/69572
• Institution: Chiang Mai University

Let X be an in nite set with cardinal p and let T(X) denote the semigroup (under composition) of transformations on X. For each in nite cardinal q such that q ≤ p, let AE(X; q) = {α ∈ T(X) : d(α) < q} when d(α) = |X\imα|. Then AE(X, q) is a semigroup of quasi-onto tranformations on X. In this...