Previous |  Up |  Next

Article

Title: Polars and annihilators in representable ${\rm DRl}$-monoids and ${\rm MV}$-algebras (English)
Author: Rachůnek, Jiří
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 51
Issue: 1
Year: 2001
Pages: 1-12
.
Category: math
.
MSC: 06D35
MSC: 06F05
idZBL: Zbl 0986.06008
idMR: MR1817718
.
Date available: 2009-09-25T11:48:25Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129430
.
Reference: [1] BALBES R.-DWINGER P.: Distributive Lattices.Univ. of Missouri Press, Columbia, 1974. Zbl 0321.06012, MR 0373985
Reference: [2] BELLUCE L. P.: Semisimple algebras of infinite valued logic and bold fuzzy set theory.Canad. Ј. Math. 38 (1986), 1356-1379. Zbl 0625.03009, MR 0873417
Reference: [3] BELLUCE L. P.-SESSA S.: Orthogonal decompositions of MV-spaces.Mathware Soft Comput. 4 (1997), 5-22. Zbl 0880.06004, MR 1463105
Reference: [4] CHAЈDA I.-RACHŮNEK Ј.: Annihilators in normal autometrized algebras.Czechoslovak Math. Ј. (To appear).
Reference: [5] CHANG C. C.: Algebraic analysis of many valued logics.Trans. Amer. Мath. Soc. 88 (1958), 467-490. Zbl 0084.00704, MR 0094302
Reference: [6] CHANG. C. C.: A new proof of the completeness of the Lukasiewicz axioms.Trans. Amer. Math. Soc. 93 (1959), 74-80. Zbl 0093.01104, MR 0122718
Reference: [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. Zbl 0827.06012, MR 1332526
Reference: [8] DI NOLA A.-LIGUORI F.-SESSA S.: Using maximal ideals in the classification of MV-algebras.Portugal. Math. 50 (1993) 87-102. Zbl 0799.06021, MR 1300588
Reference: [9] FILIPOIU A.-GEORGESCU G.: On values in relatively normal lattices.Discrete Math 161 (1996), 87-100. Zbl 0872.06008, MR 1420523
Reference: [10] HANSEN M. E.: Minimal prime ideals autometrized algebras.Czеchoslovak Math. J. 44(119) (1994), 81-90. MR 1257938
Reference: [11] HOO C. S.: MV-algebras, ideals and semisimplicity.Math. Japonica 34 (1989), 563-583. Zbl 0677.03041, MR 1005257
Reference: [12] JAKUBÍK J.: Direct product decompositions of MV-algebras.Czеchoslovak Math. J. 44(119) (1994), 725-739.
Reference: [13] JAKUBÍK J.: On complete MV-algebras.Czechoslovak Math. J. 45(120) (1995), 473-480. Zbl 0841.06010, MR 1344513
Reference: [14] JAKUBÍK J.: On archimedean MV-algebras.Czechoslovak Math. J. 48(123) (1998), 575-582. Zbl 0951.06011, MR 1637871
Reference: [15] JAKUBIK J.: Complete generators and maximal completions of MV-algebras.Czechoslovak Math. J. 48(123) (1998), 597-608. Zbl 0951.06010, MR 1637863
Reference: [16] KOVÁŘ T.: Two remarks on dually residuated lattice ordered semigroups.Math. Slоvaca (То appear). Zbl 0943.06007
Reference: [17] MARТINEZ J.: Archimedean lattices.Algеbra Univеrsalis 3 (1973), 247-260.
Reference: [18] MUNDICI D.: Interpretation of AF C*-algebras in Łukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173
Reference: [19] RAСHŮNEK J.: Prime ideals in autometrized algebras.Сzеchоslоvak Math. J. 37(112) (1987), 65-69. MR 0875128
Reference: [20] RAСHŮNEK J.: Polars in autometrized algebras.Сzеchоslоvak Math. J. 39(114) (1989), 681-685. MR 1018003
Reference: [21] RAСHŮNEK J.: Regular ideals in autometrized algebras.Math. Slоvaca 40 (1990), 117-122. MR 1094766
Reference: [22] RAСHŮNEK J.: Spectra of autometrized lattice algebras.Math. Bоhеmica 123 (1998), 87-94. MR 1618727
Reference: [23] RAСHŮNEK J.: DRl-semigroups and MV -algebras.Сzеchоslоvak Math. J. 48(123) (1998), 365-372.
Reference: [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 1667115
Reference: [25] SNODGRASS J. Т.-ТSINAKIS, С: The finite basis theorem for relatively normal lattices.Algеbra Univеrsalis 33 (1995), 40-67. Zbl 0819.06009, MR 1303631
Reference: [26] SWAMY K. L. N.: Dually residuated lattice ordered semigroups.Math. Ann. 159 (1965), 105-114. Zbl 0138.02104, MR 0183797
Reference: [27] SWAMY K. L. N.: Dually residuated lattice ordered semigroups II.Math. Ann. 160 (1965), 64-71. Zbl 0138.02104, MR 0191851
Reference: [28] SWAMY K. L. N.: Dually residuated lattice ordered semigroups III.Math. Ann. 167 (1966), 71-74. Zbl 0158.02601, MR 0200364
Reference: [29] SWAMY K. L. N.-RAO N. P.: Ideals in autometrized algebras.J. Austral. Math. Sоc. Sеr. A 24 (1977), 362-374. Zbl 0427.06006, MR 0469843
Reference: [30] SWAMY K. L. N.-SUBBA RAO B. W.: Isometries in dually residuated lattice ordered semigroups.Math. Sem. Notes 8 (1980), 369-380. MR 0601906
.

Files

Files Size Format View
MathSlov_51-2001-1_1.pdf 979.4Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo