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- W2074091008 abstract "Abstract The aim of this paper is to present several techniques of constructing a lattice-ordered effect algebra from a given family of lattice-ordered effect algebras, and to study the structure of finite lattice-ordered effect algebras. Firstly, we prove that any finite MV-effect algebra can be obtained by substituting the atoms of some Boolean algebra by linear MV-effect algebras. Then some conditions which can guarantee that the pasting of a family of effect algebras is an effect algebra are provided. At last, we prove that any finite lattice-ordered effect algebra E without atoms of type 2 can be obtained by substituting the atoms of some orthomodular lattice by linear MV-effect algebras. Furthermore, we give a way how to paste a lattice-ordered effect algebra from the family of MV-effect algebras." @default.
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- W2074091008 date "2014-10-01" @default.
- W2074091008 modified "2023-09-25" @default.
- W2074091008 title "The pasting constructions for effect algebras" @default.
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- W2074091008 doi "https://doi.org/10.2478/s12175-014-0258-y" @default.
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