(λ, µ)-Fuzzy ideals in ternary semirings | [Journal of Prime Research in Mathematics • 2015]

Author(s):

1. T. ANITHA: Mathematics Wing, DDE, Annamalai University, Annamalainagar 608 002, India.

2. D. KRISHNASWAMY: Department of Mathematics, Annamalai University, Annamalainagar 608 002, India.

Abstract:

In this paper we introduce the notion of (?, µ)-Fuzzy ternary subsemirings and ( (?, µ);-Fuzzy ideals in ternary semirings which can be regarded as the generalization of fuzzy ternary subsemirings and fuzzy ideals in ternary semirings.

Page(s): 85-92

DOI: DOI not available

Published: Journal: Journal of Prime Research in Mathematics, Volume: 11, Issue: 1, Year: 2015

Keywords:

AMS SUBJECT , 20M12 , 08A72 , 17A40 , lemda , 16Y60 , Lemda , MircroFuzzy ideals Lemda , MicroFuzzy ideals in ternary semirings , Microcharacteristic function

References:

[1] B. Yao: .2007 .-fuzzy subrings and ( ; )-fuzzy ideals. The Journal of Fuzzy Mathematics, 15(4) : 981-987.

[2] Lehmer D. H. .1932 .A ternary analogue of abelian groups. Amer. J. Math., V59, : 329-338.

[3] Kavikumar J.,Khamis A. B. .2007 .Fuzzy ideals and fuzzy quasi-ideals in ternary semirings. IAENG Int. J. Appl. Math., V37, N2, : 102-106.

[4] Kavikumar J.,Khamis A. B.,Jun Y. B. .2009 .Fuzzy bi-ideals in ternary semirings. Int. J. Comp. Math. Sci., V3, N4, : 164-168.

[5] Zadeh L. A. .1965 .: Fuzzy sets. V8, : 338-353.

[6] Chinram Ronnason,Sathinee Malee: L-Fuzzy Ternary,Subsemirings and L-Fuzzy Ideals .2010 .. IAENG International Journal of Applied Mathematics, 40 : 3.

[7] Kar S. .2005 .On quasi-ideals and bi-ideals in ternary semirings. Int. J. Math. Math. Sci., V2005, N18, : 3015-3023.

[8] Dutta T. K. .2003 .On regular ternary semirings. Advances in Algebra, Proceedings of the ICM Satellite Conference in Algebra and Related Topics, : 343-355.

[9] Dutta T. K.,S. T. K. .2004 .Kar: On the Jacobson radical of a ternary semiring. SEA Bull. Math., V28, N1, : 1-13.

[10] T. K. Dutta S. .2005 .Kar: A note on the Jacobson radicals of ternary semirings. SEA Bull. Math., V29, N2, : 321-331.

[11] T. K. Dutta S. .2005 .Kar: Two types of Jacobson radicals of ternary semirings. SEA Bull. Math., V29, N4, : 677-687.

[12] T. K. Dutta .2005 .On prime ideals and prime radical of ternary semirings. Bull. Cal. Math. Soc., V97, N5, : 445-454.

[13] T. K. Dutta .2005 .On semiprime ideals and irreducible ideals of ternary semirings. Bull. Cal. Math. Soc., V97, N5, : 467-476.

[14] T. K. Dutta S. .2006 .Kar: A note on regular ternary semirings. Kyungpook Math. J., V46, N3, : 357-365.

Citations

Downloads

Views