Korean J. Math. Vol. 31 No. 4 (2023) pp.465-477
DOI: https://doi.org/10.11568/kjm.2023.31.4.465

Soft PMS-algebras

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Published: Dec 30, 2023
Keywords:
Soft sets, PMS-algebras, soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, idealistic soft PMS-algebras
Mathematics Subject Classification:
08A72, 08A99, 03E72, 03E99, 03E75

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Nibret Melese kassahun
Department of Mathematics, Bahir Dar University, Ethiopia.
https://orcid.org/0009-0004-5010-6943
Berhanu Assaye Alaba
Department of Mathematics, Bahir Dar University, Ethiopia
Yohannes Gedamu Wondifraw
Department of Mathematics, Bahir Dar University, Ethiopia
Zelalem Teshome Wale
Department of Mathematics, Addis Ababa University, 1000, Ethiopia

Abstract

In this paper, the concept of soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, and idealistic soft PMS-algebras are introduced, and their properties are studied. The restricted intersection, the extended intersection, union, AND operation, and the cartesian product of soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, and idealistic soft PMS-algebras are established. Moreover, the homomorphic image and homomorphic pre-image of soft PMS-algebras are also studied.



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