| Title:
|
Isometries of generalized $MV$-algebras (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
161-171 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we investigate the relations between isometries and direct product decompositions of generalized $MV$-algebras. (English) |
| Keyword:
|
generalized $MV$-algebra |
| Keyword:
|
isometry |
| Keyword:
|
direct product decomposition |
| MSC:
|
03G25 |
| MSC:
|
06D35 |
| idZBL:
|
Zbl 1174.06316 |
| idMR:
|
MR2309957 |
| . |
| Date available:
|
2009-09-24T11:44:47Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128163 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.American Mathematical Society, Providence, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
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| Reference:
|
[3] P. Conrad: Lattice Ordered Groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[4] A. Dvurečenskij: Pseudo $MV$-algebras are intervals of $\ell $-groups.J. Austral. Math. Soc. 72 (2002), 427–445. MR 1902211, 10.1017/S1446788700036806 |
| Reference:
|
[5] G. Georgescu and A. Iorgulescu: Pseudo $MV$-algebras: a non-commutative extension of $MV$-algebras.Proc. Fourth. Internal Symp. Econ. Inf., INFOREC, Bucharest, 1999, pp. 961–968. |
| Reference:
|
[6] G. Georgescu and A. Iorgulescu: Pseudo $MV$-algebras.Multiple-Valued Logic 6 (2001), 95–135. MR 1817439 |
| Reference:
|
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| Reference:
|
[8] J. Jakubík: Isometries of lattice ordered groups.Czechoslovak Math. J. 30 (1980), 142–152. MR 0565917 |
| Reference:
|
[9] J. Jakubík: On intervals and isometries of $MV$-algebras.Czechoslovak Math. J. 52 (2002), 651–663. MR 1923269, 10.1023/A:1021792116546 |
| Reference:
|
[10] J. Jakubík: Direct product decompositions of pseudo $MV$-algebras.Archivum math. 37 (2001), 131–142. MR 1838410 |
| Reference:
|
[11] J. Jakubík: Isometries of $MV$-algebras.Math. Slovaca 54 (2004), 43–48. MR 2074028 |
| Reference:
|
[12] J. Rachůnek: A non-commutative generalization of $MV$-algebras.Czechoslovak Math. J. 52 (2002), 255–273. MR 1905434, 10.1023/A:1021766309509 |
| Reference:
|
[13] K. L. Swamy: Izometries in autometrized lattice ordered groups.Algebra Univ. 8 (1977), 58–64. |
| . |
