Interior ideals in $\Gamma$-semirings
Downloads
DOI:
https://doi.org/10.26637/MJM0604/0005Abstract
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-semiringMathematics Subject Classification:
Mathematics- Pages: 731-735
- Date Published: 01-10-2018
- Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
[I] T.K. Dutta and S.K. Sardar, Semi-prime ideals and ir$30(1)(2000), 97-108$.
R.D. Jagatap and Y.S. Pawar, Quasi-ideals and Minimal Quasi-ideals in $Gamma$-semirings, Novi Sad Jour. of Math., $39(2)(2009), 79-87$.
R.D. Jagatap and Y.S. Pawar,Quasi-ideals in Regular $Gamma$ semirings, Bull. Kerala Math. Asso., 6(2)(2010), 51-61.
R.D. Jagatap and Y.S. Pawar, Bi-ideals in $Gamma$-semirings, Bulletin of the International Mathematical Virtual Institute, 6(2016), 169-179.
N. Kehayopulu, Interior ideals and interior ideal elements in ordered semigroups, Pure Math. and Appl., 2(3)(1999), $407-409$.
S. Lajos, $(m ; k ; n)$-ideals in semigroups. In: Notes on Semigroups II, Karl Marx Univ. Econ., Dept. Math. Budapest, $1(1976), 12-19$.
M. M. K. Rao, Г-semirings 1, Southeast Asian Bull. of Math., 19(1995), 49-54.
G.Szasz, Interior ideals in semigroups, In: Notes on semigroups IV, Karl Marx Univ. Econ., Dept. Math. Budapest, $5(1977), 1-7$.
G.Szasz, Remark on interior ideals of semigroups, Studia Scient. Math. Hung., 16(1981), 61-63.
Similar Articles
- P. Kandan, A. Joseph Kennedy, Reverse Zagreb indices of corona product of graphs , Malaya Journal of Matematik: Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.