Acta mathematica scientia, Series B >
e-FILTERS OF MS-ALGEBRAS
Received date: 2011-10-08
Revised date: 2012-10-14
Online published: 2013-05-20
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
M. Sambasiva RAO . e-FILTERS OF MS-ALGEBRAS[J]. Acta mathematica scientia, Series B, 2013 , 33(3) : 738 -746 . DOI: 10.1016/S0252-9602(13)60034-X
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