Interior ideals in $\Gamma$-semirings

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DOI:

https://doi.org/10.26637/MJM0604/0005

Abstract

The concepts of an interior ideal, minimal interior ideal and an interior-simple $\Gamma$-semiring are defined. Various properties of an interior ideal and minimal interior ideal of a $\Gamma$-semiring are studied. Some characterizations of a minimal interior ideal and an interior-simple $\Gamma$-semiring are discussed.

Keywords:

Interior ideal, minimal interior ideal, interior-simple G-semiring, regular G-semiring, intra-regular G-semiring

Mathematics Subject Classification:

Mathematics
  • R.D. Jagatap Department of Mathematics, Y.C.College of Science, Karad-415124, Maharashtra, India.
  • Pages: 731-735
  • Date Published: 01-10-2018
  • Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)

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Published

01-10-2018

How to Cite

R.D. Jagatap. “Interior Ideals in $\Gamma$-Semirings”. Malaya Journal of Matematik, vol. 6, no. 04, Oct. 2018, pp. 731-5, doi:10.26637/MJM0604/0005.