Lobachevskii Journal of Mathematics

, Volume 40, Issue 1, pp 67–78 | Cite as

(M, N)-Soft Intersection Nearsemirings and (M, N)-α-Inclusion Along with Its Algebraic Applications

  • W. A. KhanEmail author
  • B. DavvazEmail author
  • A. MuhammadEmail author


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.

Keywords and phrases

(M, N)-SI-nearsemirings (M, N)-SI-soft-ideal (M, N)-SI-c-ideals (M, N)-α-inclusion soft anti-homomorphisms 


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Education Attock CampusPunjabPakistan
  2. 2.Department of MathematicsYazd UniversitySafaieyeh, Yazd Province, YazdIran

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