Generalized Rough \((m, n)\) Bi-\(\Gamma\)-ideals in Ordered LA-\(\Gamma\)-Semigroups

Authors

  • Moin Akhtar Ansari Department of Mathematics, College of Science, Jazan University, Jazan
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000

DOI:

https://doi.org/10.26713/cma.v12i3.1439

Keywords:

Ordered LA-\Gamma-semigroups, Rough sets, Rough (m, n)-(left, right, quasi, bi and interior)-¡- ideals

Abstract

In this paper, generalized rough \((m,n)\)-(bi-ideals, quasi-ideals and interior ideals) have been introduced in ordered LA-\(\Gamma\)-semigroups by means of pseudo order of relations. Some combined results have been proved. Properties of rough m-left \(\Gamma\)-ideals, n-right \(\Gamma\)-ideals rough interior \((m,n)\)-\(\Gamma\)-ideals, rough \((m,n)\)-quasi-\(\Gamma\)-ideals and rough \((m,n)\) bi-\(\Gamma\)-ideals in ordered LA-\(\Gamma\)-Semigroups have been studied and discussed by using pseudo order of relations.

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Published

30-09-2021
CITATION

How to Cite

Ansari, M. A., & Iampan, A. (2021). Generalized Rough \((m, n)\) Bi-\(\Gamma\)-ideals in Ordered LA-\(\Gamma\)-Semigroups. Communications in Mathematics and Applications, 12(3), 545–557. https://doi.org/10.26713/cma.v12i3.1439

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Research Article