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 |
. |