关键词: MS-algebra, e-filter, dense element, D-filter, D-prime filter, minimal prime filter, Hausdorff space

Abstract:

The notion of e-filters is introduced in an MS-algebra and characterized. The concept of D-filters is introduced and a set of equivalent conditions under which every D-filter is an e-filter are given. The properties of the space of all prime e-filters of an MS-algebra are observed. The concept of D-prime filters is introduced and then a set of equivalent conditions are derived for a prime e-filter to become a D-prime filter in topological terms.

Key words: MS-algebra, e-filter, dense element, D-filter, D-prime filter, minimal prime filter, Hausdorff space