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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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