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Ideals and Filters in Pseudo-Effect Algebras
Authors:Zhihao Ma  Junde Wu  Shijie Lu
Institution:(1) Department of Mathematics, Zhejiang University, Hangzhou, People's Republic of China;(2) City College, Zhejiang University, Hangzhou, People's Republic of China
Abstract:In this paper, we show that the filters and local filters are equivalent in pseudo-effect algebras. Ideals and local ideals and generalized ideals are equivalent in the pseudo-effect algebras, too.
Keywords:pseudo-effect algebras  ideals  filters  local ideals  local filters  generalized ideals
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