A SHORT NOTE ON APPROXIMATIONS IN A RING BY USING A NEIGHBORHOOD SYSTEM AS A GENERALIZATION OF PAWLAK'S APPROXIMATIONS

作者：Davvaz Bijan^*

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2014, 76(4): 77-84.

• ring
• ideal
• neighborhood operator
• approximation operator
• lower and upper approximations

Let R be a ring. We consider the relation a and its transitive closure alpha*. The relation alpha is the smallest equivalence relation on R so that R/alpha* is a commutative ring. Based on the relation alpha, we define a neighborhood system for each element of R, and we present a general framework of the study of approximations in rings. The connections between rings and operators are examined.

• 出版日期2014