Prime bi-interior $Gamma $-ideals of TG-semring

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Abstract

The notation of prime bi-interior ideal, semi prime bi-interior ideal, irreducible bi-interior ideal and strongly prime
bi-interior ideal of TG-Semi ring (ternary gamma semi-ring) are introduced. We study properties of these ideals
and relations between them and also characterize regular TG-Semi-ring and TG-Semi-ring using prime bi-interior
ideals, irreducible and strongly irreducible bi-interior ideals in this article.

Keywords:

TGS, bi-interior ideal, prime ideals, prime bi-interior ideal, strong prime bi-interior ideal, semi prime bi-interior ideal and irreducible and strongly irreducible bi-interior ideals

Mathematics Subject Classification:

Mathematics
  • A. Nagamalleswara Rao Department of Mathematics, Acharya Nagarjuna University, Namburu, Guntur-522510, Andhra Pradesh, India.
  • P. L. N. Varma Department of Sciences & Humanities, VFSTR Deemed to be University, Vadlamudi, Guntur-522213, Andhra Pradesh, India.
  • G. Srinivasa Rao Department of Sciences & Humanities, VFSTR Deemed to be University, Vadlamudi, Guntur-522213, Andhra Pradesh, India. https://orcid.org/0000-0002-9016-322X
  • D. Madhusudhana Rao Department of Mathematics, VSR & NVR Degree College, Tenali-522201, Andhra Pradesh, India.
  • Ch. Ramprasad Department of Sciences & Humanities, VVIT, Namburu, Guntur-522508, Andhra Pradesh, India.
  • Pages: 542-546
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

A. Nagamalleswara Rao, P. L. N. Varma, G. Srinivasa Rao, D. Madhusudhana Rao, and Ch. Ramprasad. “Prime Bi-Interior $Gamma $-Ideals of TG-Semring”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 542-6, https://www.malayajournal.org/index.php/mjm/article/view/1074.