摘要

Let H is an H (v)-group and U the set of all finite products of elements of H. The relation beta* is the smallest equivalence relation on H such that the quotient H/beta* is a group. The relation beta* is transitive closure of the relation beta, where beta is defined as follows: x beta y if and only if {x, y} subset of u for some u is an element of U.. Based on the relation beta, we define a neighborhood system for each element of H, and we presents a general framework for the study of approximations in H (v) -groups. In construction approach, a pair of lower and upper approximation operators is defined. The connections between H (v) -groups and approximation operators are examined.

  • 出版日期2006-9