| Title:
|
Cantor-Bernstein theorem for lattices (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
463-471 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element. (English) |
| Keyword:
|
lattice |
| Keyword:
|
direct product decomposition |
| Keyword:
|
Cantor-Bernstein Theorem |
| MSC:
|
06B05 |
| idZBL:
|
Zbl 1007.06005 |
| idMR:
|
MR1931330 |
| DOI:
|
10.21136/MB.2002.134062 |
| . |
| Date available:
|
2009-09-24T22:03:46Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134062 |
| . |
| Reference:
|
[1] A. De Simone, D. Mundici, M. Navara: A Cantor-Bernstein theorem for $\sigma $-complete $MV$-algebras.(to appear). |
| Reference:
|
[2] J. Jakubík: Cantor-Bernstein theorem for lattice ordered groups.Czechoslovak Math. J. 22 (1972), 159–175. MR 0297666 |
| Reference:
|
[3] J. Jakubík: On complete lattice ordered groups with strong units.Czechoslovak Math. J. 46 (1996), 221–230. MR 1388611 |
| Reference:
|
[4] J. Jakubík: Convex isomorphisms of archimedean lattice ordered groups.Mathware and Soft Computing 5 (1998), 49–56. MR 1632739 |
| Reference:
|
[5] J. Jakubík: Cantor-Bernstein theorem for $MV$-algebras.Czechoslovak Math. J. 49 (1999), 517–526. MR 1708370, 10.1023/A:1022467218309 |
| Reference:
|
[6] J. Jakubík: Direct product decompositions of infinitely distributive lattices.Math. Bohem. 125 (2000), 341–354. MR 1790125 |
| Reference:
|
[7] J. Jakubík: On orthogonally $\sigma $-complete lattice ordered groups.(to appear). MR 1940067 |
| Reference:
|
[8] J. Jakubík: Convex mappings of archimedean $MV$-algebras.(to appear). MR 1864107 |
| Reference:
|
[9] J. Jakubík: A theorem of Cantor-Bernstein type for orthogonally $\sigma $-complete pseudo $MV$-algebras.(Submitted). |
| Reference:
|
[10] R. Sikorski: A generalization of theorem of Banach and Cantor-Bernstein.Coll. Math. 1 (1948), 140–144. MR 0027264 |
| Reference:
|
[11] R. Sikorski: Boolean Algebras.Second Edition, Springer, Berlin, 1964. Zbl 0123.01303, MR 0126393 |
| Reference:
|
[12] E. C. Smith, jr., A. Tarski: Higher degrees of distributivity and completeness in Boolean algebras.Trans. Amer. Math. Soc. 84 (1957), 230–257. MR 0084466, 10.1090/S0002-9947-1957-0084466-4 |
| Reference:
|
[13] A. Tarski: Cardinal Algebras.New York, 1949. Zbl 0041.34502 |
| . |
