| Title:
|
Lexicographic extensions of dually residuated lattice ordered monoids (English) |
| Author:
|
Rachůnek, Jiří |
| Author:
|
Šalounová, Dana |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
129 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
283-295 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Dually residuated lattice ordered monoids ($DR\ell $-monoids) are common generalizations of, e.g., lattice ordered groups, Brouwerian algebras and algebras of logics behind fuzzy reasonings ($MV$-algebras, $BL$-algebras) and their non-commutative variants ($GMV$-algebras, pseudo $BL$-algebras). In the paper, lex-extensions and lex-ideals of $DR\ell $-monoids (which need not be commutative or bounded) satisfying a certain natural condition are studied. (English) |
| Keyword:
|
$DR\ell $-monoid |
| Keyword:
|
ideal |
| Keyword:
|
lex-extension |
| Keyword:
|
lex-ideal |
| Keyword:
|
algebras of fuzzy logics |
| MSC:
|
03G10 |
| MSC:
|
03G25 |
| MSC:
|
06D35 |
| MSC:
|
06F05 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 1080.06024 |
| idMR:
|
MR2092714 |
| DOI:
|
10.21136/MB.2004.134151 |
| . |
| Date available:
|
2009-09-24T22:15:12Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134151 |
| . |
| Reference:
|
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| Reference:
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| . |
