T-rough Semiprime Ideals on Commutative Rings
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Authors
S. B. Hosseini
- Department of Mathematics, Islamic Azad University, Sari Branch, Sari, Iran.
Abstract
Rough sets were originally proposed in the presence of an equivalence
relation. An equivalence relation is sometimes difficult to be obtained in
rearward problems due to the vagueness and incompleteness of human knowledge.
The purpose of this paper is to introduce and discuss the concept of
T-rough semiprime ideal, T-rough fuzzy semiprime ideal and T-rough quotient
ideal in a commutative ring which are a generalization of rough set and approximation
theory. We compare relation between a rough ideal and a T-rough
ideal and prove some theorems.
Share and Cite
ISRP Style
S. B. Hosseini, T-rough Semiprime Ideals on Commutative Rings, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 4, 270--280
AMA Style
Hosseini S. B., T-rough Semiprime Ideals on Commutative Rings. J. Nonlinear Sci. Appl. (2011); 4(4):270--280
Chicago/Turabian Style
Hosseini, S. B.. "T-rough Semiprime Ideals on Commutative Rings." Journal of Nonlinear Sciences and Applications, 4, no. 4 (2011): 270--280
Keywords
- approximation space
- rough ideal
- semiprime ideal
- T-rough set
- set-valued homomorphism
- T-rough semiprime ideal
- T-rough fuzzy ideal
- commutative ring.
MSC
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