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Polars and annihilators in representable ${\rm DRl}$-monoids and ${\rm MV}$-algebras
Mathematica slovaca, Tome 51 (2001) no. 1, pp. 1-12
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Rachůnek, Jiří. Polars and annihilators in representable ${\rm DRl}$-monoids and ${\rm MV}$-algebras. Mathematica slovaca, Tome 51 (2001) no. 1, pp. 1-12. http://geodesic.mathdoc.fr/item/MASLO_2001_51_1_a0/

[1] BALBES R.-DWINGER P.: Distributive Lattices. Univ. of Missouri Press, Columbia, 1974. | MR | Zbl

[2] BELLUCE L. P.: Semisimple algebras of infinite valued logic and bold fuzzy set theory. Canad. Ј. Math. 38 (1986), 1356-1379. | MR | Zbl

[3] BELLUCE L. P.-SESSA S.: Orthogonal decompositions of MV-spaces. Mathware Soft Comput. 4 (1997), 5-22. | MR | Zbl

[4] CHAЈDA I.-RACHŮNEK Ј.: Annihilators in normal autometrized algebras. Czechoslovak Math. Ј. (To appear).

[5] CHANG C. C.: Algebraic analysis of many valued logics. Trans. Amer. Мath. Soc. 88 (1958), 467-490. | MR | Zbl

[6] CHANG. C. C.: A new proof of the completeness of the Lukasiewicz axioms. Trans. Amer. Math. Soc. 93 (1959), 74-80. | MR | Zbl

[7] CIGNOLI R.: Free lattice-ordered abelian groups and varieties of MV-algebras. In: Proc. IX Latin. Amеr Symp. Math. Logic, Part 1. Not. Log. Mat. 38, 1993 pp. 113-118. | MR | Zbl

[8] DI NOLA A.-LIGUORI F.-SESSA S.: Using maximal ideals in the classification of MV-algebras. Portugal. Math. 50 (1993) 87-102. | MR | Zbl

[9] FILIPOIU A.-GEORGESCU G.: On values in relatively normal lattices. Discrete Math 161 (1996), 87-100. | MR | Zbl

[10] HANSEN M. E.: Minimal prime ideals autometrized algebras. Czеchoslovak Math. J. 44(119) (1994), 81-90. | MR

[11] HOO C. S.: MV-algebras, ideals and semisimplicity. Math. Japonica 34 (1989), 563-583. | MR | Zbl

[12] JAKUBÍK J.: Direct product decompositions of MV-algebras. Czеchoslovak Math. J. 44(119) (1994), 725-739.

[13] JAKUBÍK J.: On complete MV-algebras. Czechoslovak Math. J. 45(120) (1995), 473-480. | MR | Zbl

[14] JAKUBÍK J.: On archimedean MV-algebras. Czechoslovak Math. J. 48(123) (1998), 575-582. | MR | Zbl

[15] JAKUBIK J.: Complete generators and maximal completions of MV-algebras. Czechoslovak Math. J. 48(123) (1998), 597-608. | MR | Zbl

[16] KOVÁŘ T.: Two remarks on dually residuated lattice ordered semigroups. Math. Slоvaca (То appear). | Zbl

[17] MARТINEZ J.: Archimedean lattices. Algеbra Univеrsalis 3 (1973), 247-260.

[18] MUNDICI D.: Interpretation of AF C*-algebras in Łukasiewicz sentential calculus. J. Funct. Anal. 65 (1986), 15-63. | MR

[19] RAСHŮNEK J.: Prime ideals in autometrized algebras. Сzеchоslоvak Math. J. 37(112) (1987), 65-69. | MR

[20] RAСHŮNEK J.: Polars in autometrized algebras. Сzеchоslоvak Math. J. 39(114) (1989), 681-685. | MR

[21] RAСHŮNEK J.: Regular ideals in autometrized algebras. Math. Slоvaca 40 (1990), 117-122. | MR

[22] RAСHŮNEK J.: Spectra of autometrized lattice algebras. Math. Bоhеmica 123 (1998), 87-94. | MR

[23] RAСHŮNEK J.: DRl-semigroups and MV -algebras. Сzеchоslоvak Math. J. 48(123) (1998), 365-372.

[24] RAСHŮNEK J.: $MV$-algebras are categorically equivalent to a class of $\scr{DR}l_{1(i)}$-semi-groups. Math. Bоhеmica 123 (1998), 437-441. | MR

[25] SNODGRASS J. Т.-ТSINAKIS, С: The finite basis theorem for relatively normal lattices. Algеbra Univеrsalis 33 (1995), 40-67. | MR | Zbl

[26] SWAMY K. L. N.: Dually residuated lattice ordered semigroups. Math. Ann. 159 (1965), 105-114. | MR | Zbl

[27] SWAMY K. L. N.: Dually residuated lattice ordered semigroups II. Math. Ann. 160 (1965), 64-71. | MR | Zbl

[28] SWAMY K. L. N.: Dually residuated lattice ordered semigroups III. Math. Ann. 167 (1966), 71-74. | MR | Zbl

[29] SWAMY K. L. N.-RAO N. P.: Ideals in autometrized algebras. J. Austral. Math. Sоc. Sеr. A 24 (1977), 362-374. | MR | Zbl

[30] SWAMY K. L. N.-SUBBA RAO B. W.: Isometries in dually residuated lattice ordered semigroups. Math. Sem. Notes 8 (1980), 369-380. | MR