e-FILTERS OF MS-ALGEBRAS  

作　　者：M. Sambasiva RAO 

机构地区：[1]Department of Mathematics, M.V.G.R. College of Engineering,Chintalavalasa Vizianagaram, Andhra Pradesh, India-535005

出　　处：《Acta Mathematica Scientia》2013年第3期738-746,共9页数学物理学报（B辑英文版）

摘　　要：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 axe derived for a prime e-filter to become a D-prime filter in topological terms.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 axe derived for a prime e-filter to become a D-prime filter in topological terms.

关 键 词：MS-ALGEBRA e-filter dense element D-filter D-prime filter minimal prime filter Hausdorff space 

分 类 号：O153[理学—数学]