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MR ZblKeywords: $DR\ell $-monoid; prime ideal; spectrum
Kühr, Jan. Spectral topologies of dually residuated lattice-ordered monoids. Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 379-391. doi: 10.21136/MB.2004.134046
@article{10_21136_MB_2004_134046,
author = {K\"uhr, Jan},
title = {Spectral topologies of dually residuated lattice-ordered monoids},
journal = {Mathematica Bohemica},
pages = {379--391},
year = {2004},
volume = {129},
number = {4},
doi = {10.21136/MB.2004.134046},
mrnumber = {2102611},
zbl = {1080.06023},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134046/}
}
TY - JOUR AU - Kühr, Jan TI - Spectral topologies of dually residuated lattice-ordered monoids JO - Mathematica Bohemica PY - 2004 SP - 379 EP - 391 VL - 129 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134046/ DO - 10.21136/MB.2004.134046 LA - en ID - 10_21136_MB_2004_134046 ER -
[1] R. Balbes, P. Dwinger: Distributive Lattices. University of Missouri Press, Columbia, 1974. | MR
[2] R. L. O. Cignoli, I. M. L. D’Ottawiano, D. Mundici: Algebraic Foundations of Many-Valued Reasoning. Kluwer, Dordrecht, 2000.
[3] A. Di Nola, G. Georgescu, A. Iorgulescu: Pseudo $BL$-algebras: Part I. Mult. Valued Log. 8 (2002), 673–714. | MR
[4] A. Di Nola, G. Georgescu, A. Iorgulescu: Pseudo $BL$-algebras: Part II. Mult. Valued Log. 8 (2002), 717–750. | MR
[5] R. Engelking: General Topology. PWN, Warszawa, 1977. | MR | Zbl
[6] G. Georgescu, A. Iorgulescu: Pseudo $MV$-algebras. Mult. Valued Log. 6 (2001), 95–135. | MR
[7] A. M. W. Glass: Partially Ordered Groups. World Scientific, Singapore, 1999. | MR | Zbl
[8] P. Hájek: Metamathematics of Fuzzy Logic. Kluwer, Dordrecht, 1998. | MR
[9] P. Hájek: Basic fuzzy logic and $BL$-algebras. Soft Comput. 2 (1998), 124–128. | DOI
[10] T. Kovář: A General Theory of Dually Residuated Lattice Ordered Monoids. Ph.D. Thesis, Palacký Univ., Olomouc, 1996.
[11] J. Kühr: Ideals of non-commutative $DR\ell $-monoids. (to appear).
[12] J. Kühr: Prime ideals and polars in $DR\ell $-monoids and pseudo $BL$-algebras. Math. Slovaca 53 (2003), 233–246. | MR
[13] J. Rachůnek: Spectra of autometrized lattice algebras. Math. Bohem. 123 (1998), 87–94. | MR
[14] J. Rachůnek: $MV$-algebras are categorically equivalent to a class of $DR\ell _{1(i)}$-semigroups. Math. Bohem. 123 (1998), 437–441. | MR
[15] J. Rachůnek: A duality between algebras of basic logic and bounded representable $DR\ell $-monoids. Math. Bohem. 126 (2001), 561–569. | MR
[16] J. Rachůnek: A non-commutative generalization of $MV$-algebras. Czechoslovak Math. J. 52 (2002), 255–273. | DOI | MR | Zbl
[17] J. Rachůnek: Prime spectra of non-commutative generalizations of $MV$-algebras. Algebra Univers. 48 (2002), 151–169. | DOI | MR | Zbl
[18] J. T. Snodgrass, C. Tsinakis: Finite-valued algebraic lattices. Algebra Univers. 30 (1993), 311–318. | MR
[19] K. L. N. Swamy: Dually residuated lattice ordered semigroups I. Math. Ann. 159 (1965), 105–114. | DOI | MR
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