Some Results on the Generalized Rough Lie Subalgebras
-
2298
Downloads
-
3315
Views
Authors
S. B. Hosseini
- Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
A. Kazemi
- Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
Abstract
The main purpose of this paper is to introduce and discuss the concept of
T-roughness in Lie subalgebra and generalized T-rough Lie subalgebras. We
define a set-valued homomorphism on a Lie algebra and study some of their
properties and useful applications.
Share and Cite
ISRP Style
S. B. Hosseini, A. Kazemi, Some Results on the Generalized Rough Lie Subalgebras, Journal of Mathematics and Computer Science, 13 (2014), no. 4, 288-299
AMA Style
Hosseini S. B., Kazemi A., Some Results on the Generalized Rough Lie Subalgebras. J Math Comput SCI-JM. (2014); 13(4):288-299
Chicago/Turabian Style
Hosseini, S. B., Kazemi, A.. "Some Results on the Generalized Rough Lie Subalgebras." Journal of Mathematics and Computer Science, 13, no. 4 (2014): 288-299
Keywords
- Lower approximation
- Upper approximation
- T-rough set
- Set-valued homomorphism
- Lie algebras.
MSC
References
-
[1]
R. Biswas, S. Nanda, Rough groups and rough subgroups, Bull. Polish Acad. Sci. Math , 42 (1994), 251-254.
-
[2]
Z. Bonikowaski , Algebraic structures of rough sets, in: W.P. Ziarko (Ed.), Rough Sets, Fuzzy Sets and Knowledge Discovery, Springer-Verlag, Berlin, (1995), 242-247.
-
[3]
B. Davvaz, A short note on algebraic T -rough sets, Information Sciences , 178 (2008), 3247-3252.
-
[4]
B. Davvaz , Roughness in rings, Information Sciences, 164 (2004), 147-163.
-
[5]
B. Davvaz, M. Mahdavipour , Roughness in modules , Information Sciences , 176 (2006), 3658-3674.
-
[6]
S. B. Hosseini, N. Jafarzadeh, A. Gholami , T -rough Ideal and T -rough Fuzzy Ideal in a Semigroup, Advanced Materials Research, 433-440 (2012), 4915-4919.
-
[7]
S. B. Hosseini, N. Jafarzadeh, A. Gholami, Some Results on T -rough (prime, primary) Ideal and T -rough Fuzzy (prime, primary) Ideal on Commutative Rings, Int. J. Contemp. Math. Sciences, 7(7) (2012), 337 - 350.
-
[8]
T. Iwinski , Algebraic approach to rough sets, Bull. Polish Acad. Sci. Math., 35 (1987), 673-683.
-
[9]
O. Kazanci, B. Davvaz, On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings, Information Sciences, 178 (2008), 1343-1354.
-
[10]
N. Kuroki, Rough ideals in semigroups, Information Sciences, 100 (1997), 139-163.
-
[11]
Z. Pawlak, Rough sets basic notions, ICS PAS Rep. 436, (1981)
-
[12]
Z. Pawlak , Rough sets, Int. J. Inform. Comput. Sci. , 11 (1982), 341-356.
-
[13]
Z. Pawlak, A. Skowron, Rough sets: some extensions, Information Sciences, 177 (2007), 28-40.
-
[14]
W. Zhang, W. Wu, Theory and Method of Roughness, Science Press, Beijing (2001)