| 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 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
03G12 | 
| MSC:
             | 
06D35 | 
| MSC:
             | 
06F20 | 
| idZBL:
             | 
Zbl 1087.03045 | 
| idMR:
             | 
MR2074027 | 
| . | 
| Date available:
             | 
2009-09-25T14:18:08Z | 
| Last updated:
             | 
2012-08-01 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/131798 | 
| . | 
| 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 | 
| . |