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A Cantor-Bernstein type theorem for effect algebras

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Abstract.

We prove that if E 1 and E 2 are σ-complete effect algebras such that E 1 is a factor of E 2 and E 2 is a factor of E 1, then E 1 and E 2 are isomorphic.

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Received May 23, 2001; accepted in final form April 1, 2002.

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ID="h1"This research is supported by grant G-1/7625/20 of MŠ SR, Slovakia.

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Jenča, G. A Cantor-Bernstein type theorem for effect algebras. Algebra univers. 48, 399–411 (2002). https://doi.org/10.1007/s000120200008

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  • DOI: https://doi.org/10.1007/s000120200008

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