| Title:
|
Lex-ideals of DR$\ell $-monoids and GMV-algebras (English) |
| Author:
|
Šalounová, Dana |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
321-330 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G25 |
| MSC:
|
06D35 |
| MSC:
|
06F05 |
| idZBL:
|
Zbl 1072.06009 |
| idMR:
|
MR2025465 |
| . |
| Date available:
|
2009-09-25T14:15:20Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128940 |
| . |
| Reference:
|
[1] BIGARD A.-KEIMEL K.-WOLFENSTEIN S.: Groupes et anneaux réticulés.Springer-Verlag, Berlin-Heidelberg-New York, 1977. Zbl 0384.06022, MR 0552653 |
| Reference:
|
[2] CHANG C. C.: Algebraic analysis of many valued logic.Trans. Amer. Math. Soc. 88 (1958), 467-490. MR 0094302 |
| Reference:
|
[3] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in i-groups.J. Austral. Math. Soc. 70 (2002), 427-445. MR 1902211 |
| Reference:
|
[4] GEORGESCU G.-IORGULESCU A.: Pseudo-MV algebras: A non-commutative extension of MV-algebras.In: Proc. Fourth Inter. Symp. Econ. Inform., May 6-9, INFOREC Printing House, Bucharest, 1999, pp. 961-968. |
| Reference:
|
[5] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 |
| Reference:
|
[6] HORT D.-RACHŮNEK J.: Lex ideals of generalized MV-algebras.In: Combinatorics, Computability and Logic, Proc. DMTCS'01 (C S. Calude, M. J. Dinneen, S. Sburlan, eds.), Springer-Verlag, London, 2001, pp. 125-136. Zbl 0983.06015, MR 1934826 |
| Reference:
|
[7] KOVÁŘ T.: A General Theory of Dually Residuated Lattice Ordered Monoids.Ph.D. Thesis, Palacky Univ., Olomouc, 1996. |
| Reference:
|
[8] KÜHR J.: Ideals of noncommutative DRl-monoids.Czechoslovak Math. J. (Submitted). MR 2121658 |
| Reference:
|
[9] KÜHR J.: Prime ideals and polars in DRl-monoids.(Submitted). |
| Reference:
|
[10] MUNDICI D.: Interpretation of AF C*-algebras in sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173 |
| Reference:
|
[11] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434 |
| Reference:
|
[12] RACHŮNEK J.: Prime spectra of non-commutative generalizations of MV-algebras.Algebra Universalis 48 (2002), 151-169. Zbl 1058.06015, MR 1929902 |
| Reference:
|
[13] SWAMY K. L. N.: Dually residuated lattice ordered semigroups I.Math. Ann. 159 (1965), 105-114. MR 0183797 |
| . |
