| Title:
|
Radical classes of $MV$-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
191-211 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06D35 |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 0953.06012 |
| idMR:
|
MR1676805 |
| . |
| Date available:
|
2009-09-24T10:21:29Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127479 |
| . |
| Reference:
|
[1] C. C. Chang: Algebraic analysis of many-valued logics.Trans. Amer. Math. Soc. 88 (1958), 467–490. Zbl 0084.00704, MR 0094302, 10.1090/S0002-9947-1958-0094302-9 |
| Reference:
|
[2] R. Cignoli: Complete and atomic algebras of the infinite valued Łukasiewicz logic.Studia Logica 50 (1991), 375–384. Zbl 0753.03026, MR 1170180, 10.1007/BF00370678 |
| Reference:
|
[3] P. Conrad: $K$-radical classes of lattice ordered groups.Proc. Conf. Carbondale, Lecture Notes Math. 848, 1981, pp. 186–207. Zbl 0455.06010, MR 0613186 |
| Reference:
|
[4] M. Darnel: Closure operations on radicals of lattice ordered groups.Czechoslovak Math. J. 37(112) (1987), 51–64. MR 0875127 |
| Reference:
|
[5] D. Gluschankof: Cyclic ordered groups and $MV$-algebras.Czechoslovak Math. J. 43(118) (1993), 249–263. Zbl 0795.06015, MR 1211747 |
| Reference:
|
[6] J. Jakubík: Radical mappings and radical classes of lattice ordered groups.Symposia Math. 21, Academic Press, New York-London, 1977, pp. 451–477. MR 0491397 |
| Reference:
|
[7] J. Jakubík: Products of radical classes of lattice ordered groups.Acta Math. Univ. Comenianae 39 (1980), 31–41. MR 0619260 |
| Reference:
|
[8] J. Jakubík: On $K$-radicals of lattice ordered groups.Czechoslovak Math. J. 33(108) (1983), 149–163. MR 0687428 |
| Reference:
|
[9] J. Jakubík: Direct product decompositions of $MV$-algebras.Czechoslovak Math. J. 44(119) (1994), 725–739. MR 1295146 |
| Reference:
|
[10] J. Jakubík: On complete $MV$-algebras.Czechoslovak Math. J. 45(120) (1995), 473–480. MR 1344513 |
| Reference:
|
[11] J. Jakubík: On archimedean $MV$-algebras.Czechoslovak Math. J. 48(123) (1998), 575–582. MR 1637871, 10.1023/A:1022436113418 |
| Reference:
|
[12] J. Jakubík: Radical classes of generalized Boolean algebras.Czechoslovak Math. J. 48(123) (1998), 253–268. MR 1624315, 10.1023/A:1022885303504 |
| Reference:
|
[13] N. Ya. Medvedev: On the lattice of radicals of a finitely generated $\ell $-group.Math. Slovaca 33 (1983), 185–188. (Russian) MR 0699088 |
| Reference:
|
[14] D. Mundici: Interpretation of $AFC^*$-algebras in Łukasiewicz sentential calculus.Journ. Functional Anal. 65 (1986), 15–63. MR 0819173, 10.1016/0022-1236(86)90015-7 |
| Reference:
|
[15] Dao-Rong Ton: Product radical classes of $\ell $-groups.Czechoslovak Math. J. 43(108) (1992), 129–142. MR 1152176 |
| . |
