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Title: Lorenzen's theorem for pseudo-effect algebras (English)
Author: Dvurečenskij, Anatolij
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 54
Issue: 1
Year: 2004
Pages: 23-42
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Category: math
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MSC: 03G12
MSC: 06D35
MSC: 06F20
idZBL: Zbl 1087.03045
idMR: MR2074027
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Date available: 2009-09-25T14:18:08Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/131798
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Reference: [Dvu] DVUREČENSKIJ A.: States on pseudo MV-algebras.Studia Logica 68 (2001), 301-327. Zbl 1081.06010, MR 1865858
Reference: [Dvu1] DVUREČENSKIJ A.: Pseudo $MV$-algebras are intervals in $\ell$-groups.J. Austral. Math. Soc. 72 (2002), 427-445. Zbl 1027.06014, MR 1902211
Reference: [Dvu2] DVUREČENSKIJ A.: Perfect effect algebras are categorically equivalent with abelian interpolation po-groups.(Submitted). Zbl 1117.06009
Reference: [Dvu3] DVUREČENSKIJ A.: Ideals of pseudo-effect algebras and their applications.Tatra Mt. Math. Publ. 27 (2003), 45-65. Zbl 1068.03056, MR 2026641
Reference: [DvPu] DVUREČENSKIJ A.-PULMANNOVÁ S.: New Trends in Quantum Structures.Kluwer Academic Publ., Dordrecht, 2000. Zbl 0987.81005, MR 1861369
Reference: [DvVe1] DVUREČENSKIJ A.-VETTERLEIN T.: Pseudoeffect algebras. I. Basic properties.Internat. J. Theoret. Phys. 40 (2001), 685-701. Zbl 0994.81008, MR 1831592
Reference: [DvVe2] DVURECENSKIJ A.-VETTERLEIN T.: Pseudoeffect algebras. II. Group representations.Internat. J. Theoret. Phys. 40 (2001), 703-726. Zbl 0994.81009, MR 1831593
Reference: [Gelo] GEORGESCU G.-IORGULESCU A.: Pseudo-$MV$ algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439
Reference: [Gla] GLASS A. M. W.: Polars and their applications in directed interpolation groups.Trans. Amer. Math. Soc. 166 (1972), 1-25. Zbl 0235.06004, MR 0295991
Reference: [Lor] LORENZEN P.: Abstrakte Begrunde der multiplikativen Idealtheorie.Math. Z. 45 (1939), 533-553. MR 0000604
Reference: [Rav] RAVINDRAN K.: On a Structure Theory of Effect Algebras.PhD Thesis, Kansas State Univ., Manhattan, Kansas, 1996. MR 2694228
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