Rough Prime Ideals in -Semirings
Keywords:
Rough prime ideals, Rough semi-prime idealsAbstract
In this paper we introduce the notion of rough prime ideals, rough semi-prime ideals, strongly rough irreducible ideals and rough irreducible ideals of -semirings and discuss some of its properties.
References
Ahsan, J., Fully Idempotent Semiring, Proc. Japan Acad. 32 (series A) (1956), 185-188.
R. Biswas and S. Nanda, Rough Groups And Rough Subgroups, Bulletin of the Polish Academy of Sciences, Mathematics, 42(3)(1994) 251-254.
R. Chinram, Rough Prime Ideals And Rough Fuzzy Prime Ideals In -Semigroups, Commun. Korean Math. Soc. 24 (2009), No. 3, pp. 341–351.
S. Coumaressane and V.S.Subha, Rough Bi-Ideals In Near-Rings, Proceedings of the International Workshop on Fuzzy Sets, Rough Sets, Uncertainty Analysis and Applications, NIT, Durgapur, India, November 21-25 (2011) 1-10.
B. Davvaz, Roughness In Rings, Information Sciences, 164(2004) 147-163.
T. K. Dutta, S. K. Sardar, On Prime Ideals And Prime Radicals Of A Γ-Semirings, An. Stiint. Univ. Al. I Cuza Iasi Mat. (N.S.) 46(2) (2001) 319-329
T. K. Dutta, S. K. Sardar, Study of Noetherian Γ-semirings via operator semirings, Southeast Asian Bull. Math. 25 (2002) 599-608.
T. K. Dutta, S. K. Sardar, On The Operator Semirings Of A Γ-Semiring, Southeast Asian Bull. Math. 26 (2002) 203-213. Rough Sets In A Fundamental Ring, Bulletin of Iranian Mathematical Society, 24(2)(1998) 49-61.
