| Title:
|
Compressible groups (English) |
| Author:
|
Foulis, David J. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
53 |
| Issue:
|
5 |
| Year:
|
2003 |
| Pages:
|
433-455 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G12 |
| MSC:
|
06C15 |
| MSC:
|
06F20 |
| MSC:
|
46L05 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 1068.06018 |
| idMR:
|
MR2038512 |
| . |
| Date available:
|
2009-09-25T14:16:35Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136892 |
| . |
| Reference:
|
[1] ALFSEN E.-SCHULTZ F.: On the geometry of noncommutative spectral theory.Bull. Amer. Math. Soc. 81 (1975), 893-895. Zbl 0337.46014, MR 0377549 |
| Reference:
|
[2] BENNETT M. K.-FOULIS D. J.: Interval and scale effect algebras.Adv. in Appl. Math. 19 (1997), 200-215. Zbl 0883.03048, MR 1459498 |
| Reference:
|
[3] BLYTH T. S.-JANOWITZ M. F.: Residuation Theory.Pergamon, New York, 1972. Zbl 0301.06001, MR 0396359 |
| Reference:
|
[4] FOULIS D. J.: MV and Heyting effect algebras.Found. Phys. 30 (2000), 1687-1706. MR 1810197 |
| Reference:
|
[5] FOULIS D. J.: Compressions on partially ordered abelian groups.(Submitted). Zbl 1063.47003 |
| Reference:
|
[6] FOULIS D. J.: Removing the torsion from a unital group.Rep. Math. Phys. (To appear). Zbl 1054.81005, MR 2016215 |
| Reference:
|
[7] FOULIS D. J.-GREECHIE R. J.-BENNETT M. K.: The transition to unigroups.Internat. J. Theoret. Phys. 37 (1998), 45-64. Zbl 0904.06013, MR 1637148 |
| Reference:
|
[8] GREECHIE R. J.-FOULIS D. J.-PULMANNOVÁ S.: The center of an effect algebra.Order 12 (1995), 91-106. Zbl 0846.03031, MR 1336539 |
| Reference:
|
[9] GOODEARL K. R.: Partially Ordered Abelian Groups with Interpolation.Math. Surveys Monographs 20, Amer. Math. Soc, Providence, RI, 1986. Zbl 0589.06008, MR 0845783 |
| Reference:
|
[10] GUDDER S. P.: Examples, problems, and results in effect algebras.Internat. J. Theoret. Phys. 35 (1996), 2365-2376. Zbl 0868.03028, MR 1423412 |
| Reference:
|
[11] GUDDER S. P.: Sharply dominating effect algebras.Tatra Mt. Math. Publ. 15 (1998), 23-30. Zbl 0939.03073, MR 1655076 |
| Reference:
|
[12] GUDDER S. P.-PULMANNOVÁ S.-BUGAJSKI S.-BELTRAMETTI E. G.: Convex and linear effect algebras.Rep. Math. Phys. 44 (1999), 359-379. Zbl 0956.46002, MR 1737384 |
| Reference:
|
[13] HANDELMAN, D-HIGGS D.-LAWRENCE J.: Directed abelian groups, countably continuous rings, and Rickart $C^\ast$ -algebras.J. London Math. Soc 21 (1980), 193-202. MR 0575375 |
| Reference:
|
[14] JENČA G.: Blocks of homogeneous effect algebras.Bull. Austral. Math. Soc. 64 (2001), 81-98. Zbl 0985.03063, MR 1848081 |
| Reference:
|
[15] KADISON R. V.: Order properties of bounded self-adjoint operators.Proc. Amer. Math. Soc 2 (1951), 505-510. Zbl 0043.11501, MR 0042064 |
| Reference:
|
[16] PTÁK P.-PULMANNOVÁ S.: Orthomodular Structures as Quantum Logics.Kluwer, Dordrecht-Boston-London, 1991. Zbl 0743.03039, MR 1176314 |
| Reference:
|
[17] PULMANNOVÁ S.: Effect algebras with the Riesz decomposition property and $AF$ $C^\ast$-algebras.Found. Phys. 29 (1999), 1389-1401. MR 1739751 |
| Reference:
|
[18] RIESZ F.-SZ.-NAGY B.: Functional Analysis.Frederick Ungar Publishing Co., New York, 1955. MR 0071727 |
| . |
