“School of Mathematics”
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| Paper IPM / M / 80 |
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| Abstract: | |
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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/γ*, 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/γ* 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/γ*.
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