On the Closure Operator and the Closure System of Many Sorted Sets

Artur Kornilowicz

Institute of Mathematics, Warsaw University, Bialystok

Summary.

In this paper definitions of many sorted closure system and many sorted closure operator are introduced. These notations are also introduced in [9], but in another meaning. In this article closure system is absolutely multiplicative subset family of many sorted sets and in [9] is many sorted absolutely multiplicative subset family of many sorted sets. Analogously, closure operator is function between many sorted sets and in [9] is many sorted function from a many sorted set into a many sorted set.

MML Identifier: CLOSURE2

Contents (PDF format)

1. Preliminaries
2. Set of Many Sorted Subsets of a Many Sorted Set
3. Many Sorted Operator corresponding to the Operator on Many Sorted Subsets
4. Properties of Closure Operators
5. On the Closure Operator and the Closure System

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