| Title:
|
Every $l$-variety satisfying the amalgamation property is representable (English) |
| Author:
|
Gurchenkov, Sergei A. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
221-229 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1018.06012 |
| idMR:
|
MR1796328 |
| . |
| Date available:
|
2009-09-25T11:22:12Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129405 |
| . |
| Reference:
|
[1] GLASS A. M. W.-SARACINO P.-WOOD C.: Non-amalgamation of ordered groups.Math. Proc. Cambridge Philos. Soc. 95 (1984), 191-195. Zbl 0553.06017, MR 0735363 |
| Reference:
|
[2] GURCHENKOV S. A.: Varieties of nilpotent lattice ordered groups.Algebra and Logic 21 (1982), 499-510. (Russian) Zbl 0517.06015, MR 0721044 |
| Reference:
|
[3] GURCHENKOV S. A.: Varieties of l-groups with the identity [xp,yp] = e have finite basis.Algebra and Logic 23 (1984), 27-47. (Russian) MR 0781403 |
| Reference:
|
[4] GURCHENKOV S. A-KOPYTOV V. M.: On covers of variety of abelian lattice ordered groups.Siberian Math. J. 28 (1987), 66-69. (Russian) MR 0904635 |
| Reference:
|
[5] HOLLAND W. CH.-GLASS A. M. W.-McCLEARY S.: The structure of l-group varieties.Algebra Universalis 10 (1980), 1-20. MR 0552151 |
| Reference:
|
[6] PIERCE K. R.: Amalgamating abelian ordered groups.Pacifìc. J. Math. 43 (1972), 711-723. Zbl 0259.06018, MR 0319848 |
| Reference:
|
[7] PIERCE K. R.: Amalgamations of lattice ordered groups.Trans. Amer. Math. Soc. 172 (1972), 249-260. MR 0325488 |
| Reference:
|
[8] POWELL W. B.-TSINAKIS C.: Amalgamations of lattice ordered groups.In: Ordered Algebraic Structures. (W. B. Powell, C. Tsinakis, eds.) Lecture Notes in Pure and Appl. Math. 99, Marcel Dekker, New York, 1985, pp. 171-178. Zbl 0572.06011, MR 0823771 |
| Reference:
|
[9] POWELL W. P.-TSINAKIS C.: Amalgamations of l-groups.In: Lattice ordered groups. (A. M. W. Glass, W. Ch. Holland, eds.) Advances and Techniques, D. Reidel, Dordrecht, 1989, pp. 308-327. MR 1036082 |
| Reference:
|
[10] POWELL W. B.-TSINAKIS C.: The failure of the amalgamation property for varieties of representable l-groups.Math. Proc. Cambridge Philos. Soc. 106 (1989), 439-443. MR 1010368 |
| Reference:
|
[11]
: Problem lists, Ordered Algebraic Structures.Notices Amer. Math, Soc 29 (1982), 327. |
| . |
