On automorphisms of monotone transformation posemigroups

Author:

Mir Dilawar Juneed1,Shah Aftab Hussain1ORCID,Ahanger Shabir Ahmad1

Affiliation:

1. Department of Mathematics, Central University of Kashmir, Ganderbal 191201, India

Abstract

In this paper, we provide a simple generalization of results of Sullivan for [Formula: see text] the full transformation monotone pomonoid and for [Formula: see text] the partial transformation monotone pomonoid by showing that every automorphism of [Formula: see text] and [Formula: see text] is inner induced by the elements of [Formula: see text] the pogroup of all ordered bijections on [Formula: see text]. We also show that [Formula: see text] is isomorphic to [Formula: see text]. Finally, we apply these results to get some more results in this direction.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Inner automorphisms of Clifford monoids;Hacettepe Journal of Mathematics and Statistics;2024-08-27

2. Counting of conjugacy classes in partial transformation semigroups;INT J NONLINEAR ANAL;2022

3. On automorphisms of strong semilattice of π-groups;INT J NONLINEAR ANAL;2022

4. On automorphisms of strong semilattice of groups;Mathematics Open;2022-01

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