“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 80
School of Mathematics
  Title:   Rough sets in a fundamental ring
  Author(s):  B. Davvaz
  Status:   Published
  Journal: Bull. Iranian Math. Soc.
  No.:  2
  Vol.:  24
  Year:  1998
  Pages:   49-61
  Supported by:  IPM
The largest class of multivalued systems satisfying ring-like axioms is the Hv-ring. Let R be an Hv-ring and γ* be the smallest equivalence relation on R such that the quotient R*, the set of all equivalence classes, is a ring. In this paper we consider the relation γ* defined on R and define the lower and upper approximations of a subset A of R with respect to γ*. We interprete the lower and upper approximations as subsets of the ring R* and we prove some results in this connection. In particular, we show that if A is an Hv-ideal of R then upper approximation of A is an ideal of R*.

Download TeX format
back to top
scroll left or right