| Title:
|
Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices (English) |
| Author:
|
Rachůnek, Jiří |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
195-200 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G20 |
| MSC:
|
06B10 |
| MSC:
|
06D35 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1040.06005 |
| idMR:
|
MR1904695 |
| . |
| Date available:
|
2009-01-29T16:01:42Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120431 |
| . |
| Reference:
|
[1] Darnel M. R.: Theory of Lattice-Ordered Groups.Marcel Dekker, Inc., New York-Basel-Hong Kong, 1995. Zbl 0810.06016, MR 1304052 |
| Reference:
|
[2] Chang C. C.: Algebraic analysis of many valued logic.Trans. Amer. Math. Soc. 88, 467-490. MR 0094302 |
| Reference:
|
[3] Cignoli R. L. O., D’Ottaviano I. M. L., Mundici D.: Algebraic Foundations of Many-valued Reasoning.Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. Zbl 0937.06009, MR 1786097 |
| Reference:
|
[4] Dvurečenskij A.: Pseudo MV-algebras are intervals in l-groups.J. Austral. Math. Soc. (Ser. A) (to appear). MR 1902211 |
| Reference:
|
[5] Dvurečenskij A., Pulmannová S.: New Trends in Quantum Structures.Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. MR 1861369 |
| Reference:
|
[6] Georgescu G., Iorgulescu A.: Pseudo-MV algebras: A non-commutative extension of MV-algebras.In.: Proc. Fourth Inter. Symp. Econ. Inform., May 6-9, 1999, INFOREC Printing House, Bucharest, 1999, 961-968. |
| Reference:
|
[7] Georgescu G., Iorgulescu A.: Pseudo-MV algebras.Multiple Valued Logic 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 |
| Reference:
|
[8] Rachůnek J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. (to appear). Zbl 1012.06012, MR 1905434 |
| Reference:
|
[9] Rachůnek J.: Prime spectra of non-commutative generalizations of MV-algebras.(submitted). Zbl 1058.06015 |
| . |
