| Title:
|
On the $\alpha$-completeness of pseudo MV-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
5 |
| Year:
|
2002 |
| Pages:
|
511-516 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D35 |
| idZBL:
|
Zbl 1030.06009 |
| idMR:
|
MR1963441 |
| . |
| Date available:
|
2009-09-25T14:10:49Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130365 |
| . |
| Reference:
|
[1] CIGNOLI R.-D'OTTAVIANO M. L.-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning.Kluwer Acаdemic Publishers, Dordrecht, 2000. Zbl 0937.06009, MR 1786097 |
| Reference:
|
[2] CONRAD P.: $K$-radical classes of lattice ordered groups.In: Proc. Conf. Cаrbondаle. Lecture Notes in Mаth. 848, Springer, New York, 1981, pp. 186-207. Zbl 0455.06010, MR 0613186 |
| Reference:
|
[3] DVUREČENSKIJ A.: On pseudo $MV$-algebras.Soft Computing 5 (2001), 347-354. Zbl 1081.06010 |
| Reference:
|
[4] DVUREČENSKIJ A.: Pseudo $MV$-algebras are intervals in $\ell$-groups.J. Austrаl. Mаth. Soc. 72 (2002), 427-445. Zbl 1027.06014, MR 1902211 |
| Reference:
|
[5] GEORGESCU G.-IORGULESCU A.: Pseudo $MV$-algebras: a noncommutative extension of $MV$-algebras.In: The Proceedings of the Fourth Internаtionаl Symposium on Economic Informаtics, INFOREC Printing House, Buchаrest, 1999, pp. 961-968. Zbl 0985.06007, MR 1730100 |
| Reference:
|
[6] GEORGESCU G.-IORGULESCU A.: Pseudo $MV$-algebras.Multi. Val. Log. (A special issue dedicated to Gr. C Moisil) 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 |
| Reference:
|
[7] JAKUBIK J.: Radical mappings and radical classes of lattice ordered groups.In: Sympos. Math. 21, Academic Press, London, 1977, pp. 451-477. Zbl 0368.06013, MR 0491397 |
| Reference:
|
[8] JAKUBIK J.: Radical classes of $MV$-algebras.Czechoslovak Math. J. 49 (1999), 191-211. Zbl 0953.06012, MR 1676805 |
| Reference:
|
[9] MUNDICI D.: Interpretation of $AFC\ast$ -algebras in Lukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173 |
| Reference:
|
[10] RACHUNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 25 (2002), 255-273. Zbl 1012.06012, MR 1905434 |
| . |
