(M, N)-Soft Intersection Nearsemirings and (M, N)-α-Inclusion Along with Its Algebraic Applications
- Authors: Khan W.A.1, Davvaz B.1, Muhammad A.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 40, No 1 (2019)
- Pages: 67-78
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203783
- DOI: https://doi.org/10.1134/S1995080219010098
- ID: 203783
Cite item
Abstract
In this note, we introduce (M, N)-soft intersection nearsemirings (abbreviate as (M, N)-SI-nearsemirings) by utilizing the intersection operation of sets. We study the set theoretic characteristics of (M, N)-Soft intersection nearsemirings with the effects of different types of sets operations. (M, N)-SI-subnearsemirings, (M, N)-SI-ideals, and (M, N)-SI-c-ideals are also introduced and discussed. Furthermore, we introduce the notions of (M, N)-α-inclusion, soft uni-int c-products, soft uni-int c-sums and study (M, N)-SI-nearsemirings by using these operations. We also inter-relate (M, N)-SI-nearsemirings and classical nearsemirings by utilizing (M, N)-α-inclusion.
About the authors
W. A. Khan
Department of Mathematics
Author for correspondence.
Email: sirwak2003@yahoo.com
Pakistan, Punjab
B. Davvaz
Department of Mathematics
Author for correspondence.
Email: davvaz@yazd.ac.ir
Iran, Islamic Republic of, Safaieyeh, Yazd Province, Yazd, 89195-741
A. Muhammad
Department of Mathematics
Author for correspondence.
Email: adnanmuhammad216@gmail.com
Pakistan, Punjab