| Title:
|
Convergence with a fixed regulator in Archimedean lattice ordered groups (English) |
| Author:
|
Černák, Štefan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
167-180 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
20F60 |
| idZBL:
|
Zbl 1150.06019 |
| idMR:
|
MR2229339 |
| . |
| Date available:
|
2009-09-25T14:31:03Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132658 |
| . |
| Reference:
|
[1] ANDERSON M.-FEIL T.: Lattice Ordered Groups.Reidel Texts in Math. Sci., D. Reidel Publishing Company, Dordrecht, 1988. Zbl 0636.06008, MR 0937703 |
| Reference:
|
[2] ČERNÁK Š.: On some types of maximal I-subgroups of a lattice ordered group.Math. Slovaca 28 (1978), 349-359. MR 0534814 |
| Reference:
|
[3] ČERNÁK Š.-LIHOVÁ J.: Convergence with a regulator in lattice ordered groups.Tatra Mt. Math. Publ. 39 (2005), 35-45. Zbl 1150.06020, MR 2190246 |
| Reference:
|
[4] CONRAD P.-McALISTER D.: The completion of a lattice ordered group.J. Austral. Math. Soc. 9 (1969), 182-208. MR 0249340 |
| Reference:
|
[5] DARNEL M. R.: Theory of Lattice Ordered Groups.Monogr. Textbooks Pure Appl. Math. 187, Marcel Dekker, New York, NY, 1995. Zbl 0810.06016, MR 1304052 |
| Reference:
|
[6] FUCHS L.: Partially Ordered Algebraic Systems.Pergamon Press, Oxford-London-New York-Paris, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[7] GLASS A. M. W.: Partially Ordered Groups.Ser. Algebra 7, World Scientific, Singapore, 1999. Zbl 0933.06010, MR 1791008 |
| Reference:
|
[8] JAKUBÍK J.: Kernels of lattice ordered groups defined by properties of sequences.Časopis Pěst. Mat. 109 (1984), 290-298. Zbl 0556.06007, MR 0755595 |
| Reference:
|
[9] LUXEMBURG M.-ZAANEN A.: Riesz Spaces. Vol. I.North-Holland Math. Library, Nord Holland Publ. Comp., Amsterdam-London, 1971. Zbl 0231.46014, MR 0511676 |
| Reference:
|
[10] MARTINEZ J.: Polar functions. III: On irreducible maps vs. essential extensions of Archimedean l-groups with unit.Tatra Mt. Math. Publ. 27 (2003), 189-211. MR 2026651 |
| Reference:
|
[11] VULIKH B. Z.: Introduction to the Theory of Partially Ordered Spaces.Wolters-Noordhoff Sci. Publ. Ltd., Groningen, 1967. Zbl 0186.44601, MR 0224522 |
| . |
