On automorphisms of strong semilattice of $\pi$-groups

Document Type : Research Paper

Authors

Department of Mathematics, Central University of Kashmir, Ganderbal-191201, India

Abstract

In this paper, we make a start by considering the automorphisms of strong semilattice of $\pi$-groups, relating them to the automorphisms of underlying $\pi$-groups. We also provide a condition under which an automorphism of strong semilattice of $\pi$-groups can be constructed.

Keywords

[1] D.J. Mir, A.H. Shah and S.A. Ahanger, On automorphisms of monotone transformation posemigroups, Asian-Eur.
J. Math. 15 (2022), no. 2, 2250032.
[2] J.M. Howie, Fundamentals of semigroup theory, volume 12 of London Mathematical Society Monographs, New
series, The Clarendon Press, Oxford University Press, New York, Oxford science Publications, 1995.
[3] J.D.P. Meldrum, Les demigroupes d’endomorphismes, Rend. Sci. Mat. Appl. A 125 (1991), 113–128.
[4] J. Zhang, Y. Yang and R. Shen, The srong semilattices of π-groups, Eur. J. Pure Appl. Math. 3 (2018), 589–597.
[5] M. Samman and J.D.P. Meldrum, On endomorphisms of semilattices of groups, Algebra Coll. 12 (2005), 93–100.
[6] S. Bogdanovic, Semigroups with a system of subsemigroups, Novi Sad University press, Novi Sad, 1985.
Volume 13, Issue 2
July 2022
Pages 3031-3036
  • Receive Date: 04 January 2022
  • Revise Date: 08 April 2022
  • Accept Date: 24 April 2022