e-filters of MS-algebras |
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| Authors: | M. Sambasiva RAO |
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| Affiliation: | Department of Mathematics, M.V.G.R. College of Engineering, Chintalavalasa, Vizianagaram, Andhra Pradesh, India-535005 |
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| 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. |
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| Keywords: | MS-algebra e-filter dense element D-filter D-prime filter minimal prime filter Hausdorff space |
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