Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: $DRl$-monoid; prime ideal; spectrum; $MV$-algebra
Rachůnek, Jiří. Ordered prime spectra of bounded $DRl$-monoids. Mathematica Bohemica, Tome 125 (2000) no. 4, pp. 505-509. doi: 10.21136/MB.2000.126274
@article{10_21136_MB_2000_126274,
author = {Rach\r{u}nek, Ji\v{r}{\'\i}},
title = {Ordered prime spectra of bounded $DRl$-monoids},
journal = {Mathematica Bohemica},
pages = {505--509},
year = {2000},
volume = {125},
number = {4},
doi = {10.21136/MB.2000.126274},
mrnumber = {1802299},
zbl = {0967.06011},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.126274/}
}
[1] S. Burris H. P. Sankappanavar: A Course in Universal Algebra. Springer-Verlag, Berlin, 1977. | MR
[2] C. C. Chang: Algebraic analysis of many valued logics. Trans. Amer. Math. Soc. 88 (1958), 467-490. | DOI | MR | Zbl
[3] C. C. Chang: A new proof of the completeness of the Lukasiewicz axioms. Trans. Amer. Math. Soc. 93 (1959), 74-80. | MR | Zbl
[4] R. Cignoli A. Torrens: The poset of prime l-ideaІs of an abelian l-group with a strong unit. J. Algebra 184 (1996), 604-614. | DOI | MR
[5] T. Kovář: A general theory of dually residuated lattice ordered monoids. Thesis, Palacký Univ. Olomouc, 1996.
[6] D. Mundici: Interpretation of AF C*-algebras jn Lukasiewicz sentential calculus. J. Funct. Analys. 65 (1986), 15-63. | DOI | MR
[7] J. Rachůnek: Spectra of autometrized lattice algebras. Math. Bohem. 123 (1998), 87-94. | MR
[8] J. Rachůnek: DRl-semigroups and MV-algebras. Czechoslovak Math. J. 48 (1998), 365-372. | DOI | MR
[9] J. Rachůnek: MV-algebras are categorically equivalent to a class of $DRl_{1(i)}$-semigroups. Math. Bohem. 123 (1998), 437-441. | MR
[10] J. Rachůnek: Polars and annihilators in representable DRl-monoids and MV-algebras. (submitted).
[11] K. L. N. Swamy: Dually residuated lattice ordered semigroups. Math. Ann. 159 (1965), 105-114. | DOI | MR | Zbl
[12] K. L. N. Swamy: Dually residuated lattice ordered semigroups II. Math. Ann. 160 (1965), 64-71. | DOI | MR
[13] K. L. N.Swamy: Dually residuated lattice ordered semigroups III. Math. Ann. 167 (1966), 71-74. | DOI | MR
Cité par Sources :