Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: $MV$-algebra; DRl-monoid
Švrček, Filip. Operators on $GMV$-algebras. Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 337-347. doi: 10.21136/MB.2004.134044
@article{10_21136_MB_2004_134044,
author = {\v{S}vr\v{c}ek, Filip},
title = {Operators on $GMV$-algebras},
journal = {Mathematica Bohemica},
pages = {337--347},
year = {2004},
volume = {129},
number = {4},
doi = {10.21136/MB.2004.134044},
mrnumber = {2102608},
zbl = {1080.06502},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134044/}
}
[1] Chang, C. C.: Algebraic analysis of many-valued logics. Trans. Amer. Math. Soc. 88 (1958), 467–490. | DOI | MR | Zbl
[2] Chang, C. C.: A new proof of the completeness of the Łukasiewicz axioms. Trans. Amer. Math. Soc. 93 (1959), 74–80. | MR | Zbl
[3] Cignoli, R. O. L., D’Ottaviano, I. M. L., Mundici, D.: Algebraic Foundations of Many -Valued Reasoning. Kluwer Acad. Publ., Dordrecht, 2000. | MR
[4] Dvurečenskij, A., Pulmannová, S.: New Trends in Quantum Structures. Kluwer Acad. Publ., Dordrecht, 2000. | MR
[5] Georgescu, G., Iorgulescu, A.: Pseudo-$MV$-algebras. Multiple Valued Logic 6 (2001), 95–135. | MR
[6] Kovář, T.: A General Theory of Dually Residuated Lattice Ordered Monoids. Ph.D. Thesis Palacký University, Olomouc, 1996.
[7] Rachůnek, J.: DRl-semigroups and $MV$-algebras. Czechoslovak Math. J. 48 (1998), 365–372. | DOI | MR
[8] Rachůnek, J.: $MV$-algebras are categorically equivalent to a class of DR$l_{1(i)}$-semigroups. Math. Bohem. 123 (1998), 437–441. | MR
[9] Rachůnek, J.: A non-commutative generalization of $MV$-algebras. Czechoslovak Math. J. 52 (2002), 255–273. | DOI | MR | Zbl
[10] Rachůnek, J.: Prime spectra of non-commutative generalizations of $MV$-algebras. Algebra Univers. 48 (2002), 151–169. | DOI | MR | Zbl
[11] Rachůnek, J., Švrček, F.: $MV$-algebras with additive closure operators. Acta Univ. Palacki., Mathematica 39 (2000), 183–189. | MR
[12] Rasiowa, H., Sikorski, R.: The Mathematics of Metamathematics. Panstw. Wyd. Nauk., Warszawa, 1963. | MR
[13] Swamy, K. L. N.: Dually residuated lattice ordered semigroups. Math. Ann. 159 (1965), 105–114. | DOI | MR | Zbl
Cité par Sources :