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Generalized Ideals and Supports in Pseudo Effect Algebras

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Abstract

In this paper we introduce the definitions of generalized ideals and generalized filters in pseudo effect algebras. From the generalized ideals (filters), we obtain some equivalent characterization of ideals (filters). The relationships among generalized ideals, ideals and local ideals are studied in detail. We also establish an isomorphism between the set of supports and the set of generalized ideals of pseudo effect algebras.

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Authors and Affiliations

  1. Institute of Mathematics, AMSS, Academia Sinica, Beijing, 100080, People’s Republic of China

    Yun Shang

  2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, People’s Republic of China

    Yongming Li

Authors
  1. Yun Shang
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  2. Yongming Li
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Correspondence to Yun Shang.

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Shang, Y., Li, Y. Generalized Ideals and Supports in Pseudo Effect Algebras. Soft Comput 11, 641–645 (2007). https://doi.org/10.1007/s00500-006-0126-y

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  • DOI: https://doi.org/10.1007/s00500-006-0126-y

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