Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996 Association of Mizar Users

## Prime Ideals and Filters

Grzegorz Bancerek
Warsaw University, Bialystok

### Summary.

The part of [11, pp. 73-77], i.e. definitions and propositions 3.16-3.27, is formalized in the paper.

This work has been partially supported by the Office of Naval Research Grant N00014-95-1-1336.

#### MML Identifier: WAYBEL_7

The terminology and notation used in this paper have been introduced in the following articles [20] [8] [22] [17] [23] [24] [7] [10] [6] [18] [14] [19] [1] [21] [2] [3] [4] [13] [9] [15] [5] [16] [12]

#### Contents (PDF format)

1. The lattice of subsets
2. Prime ideals and filters
3. Cluster points of a filter of sets
4. Pseudo prime elements

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