Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (3): 738-746.doi: 10.1016/S0252-9602(13)60034-X

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e-FILTERS OF MS-ALGEBRAS

M. Sambasiva RAO   

  1. Department of Mathematics, M.V.G.R. College of Engineering, Chintalavalasa Vizianagaram, Andhra Pradesh, India-535005
  • Received:2011-10-08 Revised:2012-10-14 Online:2013-05-20 Published:2013-05-20

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

CLC Number: 

  • 06D30
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