SOFT INTERSECTION AND SOFT UNION k-IDEALS OF HEMIRINGS AND THEIR APPLICATIONS |
Anjum, Rukhshanda
(Department of Mathematics and Statistics, University of Lahore)
Lodhi, Aqib Raza Khan (Department of Mathematics and Statistics, University of Lahore) Munir, Mohammad (Department of Mathematics, Government Postgraduate College) Kausar, Nasreen (Department of Mathematics and Statistics, University of Agriculture) |
1 | Anjum, R., Ullah, S., Chu, Y.M., Munir, M., Kausar, N. and Kadry, S., Characterizations of ordered h-regular semirings by ordered h-ideals, AIMS Mathematics 5 (6) (2020), 5768-+5790. DOI |
2 | Cagman, N., Citak, F., and Aktas, H, Soft int-group and its applications to group theory, Neural Computing and Applications 21 (1), 151-158. |
3 | Chowdhury, K. R., Sultana, A., Mitra, N. K., and Khan, A. K, Some structural properties of semirings, Annals of Pure and Applied Mathematics 5 (2), 158-167. |
4 | Dudek, W. A., Shabir, M., and Anjum, R, Characterizations of hemirings by their h-ideals, Computers & Mathematics with Applications 59 (9) (2010), 3167-3179. DOI |
5 | Feng, F., Jun, Y. B., and Zhao, X, Soft semirings, Computers & Mathematics with Applications 56 (10), 2621-2628. DOI |
6 | Golan, J. S, Semirings and their Applications Springer Science & Business Media (2013). |
7 | Goodearl, K. R, Von Neumann regular rings (Vol. 4). London: Pitman (1979). |
8 | Henriksen, M, Ideals in semirings with commutative addition, Amer. Math. Soc. Notices 6 (1) (1958), 321. |
9 | Jun, Y. B, Soft bck/bci-algebras, Computers & Mathematics with Applications 56 (5) (2008), 1408-1413. DOI |
10 | Karvellas, P. H, Inversive semirings, Journal of the Australian Mathematical Society 18 (3) (1974), 277-288. DOI |
11 | Ali, M. I., Feng, F., Liu, X., Min, W. K., and Shabir, M, On some new operations in soft set theory, Computers & Mathematics with Applications 57 (9) (2009), 1547-1553. DOI |
12 | Petrich, M, Introduction to Semiring, Charles E Merrill Publishing Company, Ohio, 105 (1973). |
13 | La Torre, D. R, On h-ideals and k-ideals in hemirings, Publ. Math. Debrecen 12 (2) (1965), 219-226. DOI |
14 | Li, F, Regularity of semigroup rings, In Semigroup Forum 53 (1) (1996), 72-81. Springer-Verlag. DOI |
15 | Ma, X., and Zhan, J, Soft intersection h-ideals of hemirings and its applications, Ital. J. of Pur. and Appl. Math 32 (2014), 301-308. |
16 | Munir, M., Kausar, N., Anjum, R., Ali, A. and Hussain, R., A characterization of semigroups through their fuzzy generalized m-bi-ideals, The Korean Journal of Mathematics 28 (3) (2020), 623-638. DOI |
17 | Acar, U., Koyuncu, F., and Tanay, B, Soft sets and soft rings, Computers & Mathematics with Applications 59 (11) (2010), 3458-3463. DOI |
18 | Akram, M, Bifuzzy left h-ideals of hemirings with interval-valued membership function, Mathematica Slovaca 59 (6) (2009), 719-730. DOI |
19 | Reutenauer, C., and Straubing, H, Inversion of matrices over a commutative semiring, Journal of Algebra 88 (2) (1984), 350-360. DOI |
20 | Molodtsov, D, Soft set theory-first results, Computers & Mathematics with Applications 37 (4-5) (1999), 19-31. DOI |
21 | Shabir, M., and Anjum, R, ON k-Bi-Ideals in hemS IN HEMIRINGS, New Mathematics and Natural Computation 8 (03) (2012), 323-341. DOI |
22 | Sezgin, A., Atagun, A. O., and Cagman, N, Soft intersection near-rings with its applications, Neural Computing and Applications 21 (1) (2012), 221-229. DOI |
23 | Shabir, M., and Anjum, R, Characterizations of Hemirings by the Properties of Their k-Ideals, Applied Mathematics 4 (5) (2013) 753-768. DOI |
24 | Shabir, M., and Anjum, R, Right k-weakly regular hemirings, Quasigroups and Related Systems 20 (1) (2012), 97-112. |
25 | Vandiver, H. S, Note on a simple type of algebra in which the cancellation law of addition does not hold, Bulletin of the American Mathematical Society 40 (12) (1934), 914-920. DOI |
26 | Vasanthi, T., and Amala, M, Some special classes of semirings and ordered semirings, Annals of Pure and Applied Mathematics 4 (2), 145-159. |
27 | Vasanthi, T., and Sulochana, N, On the additive and multiplicative structure of semirings, Annals of Pure and Applied Mathematics 3 (1) (2013), 78-84. |
28 | Zhan, J., Cagman, N., and Sezgin Sezer, A, Applications of soft union sets to hemirings via SU-h-ideals, Journal of Intelligent & Fuzzy Systems 26 (3) (2014), 1363-1370. DOI |