Previous |  Up |  Next

Article

Title: Isometries and direct decompositions of pseudo MV-algebras (English)
Author: Jasem, Milan
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 57
Issue: 2
Year: 2007
Pages: [107]-118
.
Category: math
.
MSC: 06D35
MSC: 06F15
idZBL: Zbl 1150.06014
idMR: MR2357810
.
Date available: 2009-09-25T14:36:45Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136940
.
Reference: [1] CHANG C. C.: Algebraic analysis of many-valued logics.Trans. Amer. Math. Soc. 88 (1958), 467-490. Zbl 0084.00704, MR 0094302
Reference: [2] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in l-groups.J. Aust Math. Soc. 72 (2002), 427-445. MR 1902211
Reference: [3] DVUREČENSKIJ A.-VETTERLEIN T.: Pseudoeffect algebras. I. Basic properties; II. Group representations.Internat. J. Theoret. Phys. 40 (2001), 685-701; 703-726. MR 1831592
Reference: [4] GEORGESCU G.-IORGULESCU A.: Pseudo MV algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439
Reference: [5] GEORGESCU G.-IORGULESCU A.: Pseudo MV algebras: A non-commutative extension of MV-algebras.In: The Proceeding of the Fourth International Symposium on Economic Informatics, 6-9 May, INFOREC Printing House, Bucharest, 1999, pp. 961-968.
Reference: [6] GLASS A. M. W.: Partially Ordered Groups.Series in Algebra 7, World Scientific, Singapore, 1999. Zbl 0933.06010, MR 1791008
Reference: [7] JAKUBÍK J.: Isometrics of lattice ordered groups.Czechoslovak Math. J. 30 (127) (1980), 142-152. MR 0565917
Reference: [8] JAKUBÍK J.: On isometries of non-abelian lattice ordered groups.Math. Slovaca 31 (1981), 171-175. Zbl 0457.06014, MR 0611629
Reference: [9] JAKUBÍK J.: Direct product decomposition of MV-algebras.Czechoslovak Math. J. 44 (119) (1992), 725-739. MR 1295146
Reference: [10] JAKUBÍK J.: Direct product decomposition of pseudo MV-algebras.Arch. Math. (Brno) 37 (2001), 131-142. MR 1838410
Reference: [11] JAKUBÍK J.: On intervals and isometries of MV-algebras.Czechoslovak Math. J. 52 (127) (2002), 651-663. Zbl 1012.06013, MR 1923269
Reference: [12] JAKUBÍK J.: Isometries of MV-algebras.Math. Slovaca 54 (2004), 43-48. Zbl 1087.06006, MR 2074028
Reference: [13] JASEM M.: Weak isometries and direct decompositions of dually residuated lattice ordered semigroups.Math. Slovaca 43 (1993), 119-136. Zbl 0782.06012, MR 1274597
Reference: [14] JASEM M.: Weak isometries in partially ordered groups.Acta Math. Univ. Comenian. (N.S.) 63 (1994), 259-265. Zbl 0821.06016, MR 1319446
Reference: [15] JASEM M.: Weak isometries and direct decompositions of partially ordered groups groups.Tatra Mt. Math. Publ. 5 (1995), 131-142. MR 1384803
Reference: [16] JASEM M.: Isometries in non-abelian multilattice groups.Math. Slovaca 46 (1996), 491-496. Zbl 0890.06012, MR 1451037
Reference: [17] KOVÁŘ T.: A general theory of dually residuated lattice ordered semigroups.Ph.D. Thesis, Palacky University, Olomouc 1996.
Reference: [18] KOVÁŘ T.: On (weak) zero-fixing isometries in dually residuated lattice-ordered semi-groups.Math. Slovaca 50 (2000), 123-125. MR 1763114
Reference: [19] KÜHR J.: Pseudo BL-algebras and DRl-monoids.Math. Bohem. 128 (2003), 199-208. MR 1995573
Reference: [20] KÜHR J.: Dually Residuated Lattice Ordered Monoids.Doctoral Thesis, Palacky University, Olomouc, 2003. Zbl 1141.06014
Reference: [21] KÜHR J.: Prime ideals and polars in DRl-monoids and pseudo BL-algebras.Math. Slovaca 53 (2003), 233-246. MR 2025020
Reference: [22] MUNDICI D.: Interpretation of AF C*-algebras in Lukasiewicz sentential calculus.J. Func. Anal. 65 (1986), 15-63. MR 0819173
Reference: [23] RACHŮNEK J.: Isometries in ordered groups.Czechoslovak Math. J. 34(127) (1984), 334-341. Zbl 0558.06020, MR 0743498
Reference: [24] RACHŮNEK J.: DRl-semigroups and MV-algebras.Czechoslovak Math. J. 48(123) (1998), 365-372. Zbl 0952.06014, MR 1624268
Reference: [25] RACHŮNEK J.: $MV$-algebras are categorically equivalent to a class of $DR\ell_{l(i)}$-semi-groups.Math. Bohem. 123 (1998), 437-441. MR 1667115
Reference: [26] RACHŮNEK J.: Non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (127) (2002), 255-273. Zbl 1012.06012, MR 1905434
Reference: [27] SWAMY K. L. M.: Isometries in autometrized lattice ordered groups.Algebra Universalis 8 (1978), 59-64. Zbl 0409.06007, MR 0463074
Reference: [28] SWAMY K. L. M.-SUBBA RAO B. V.: Isometries in dually residuated lattice ordered semigroups.Math. Sem. Notes Kobe Univ. 8 (1980), 369-379. MR 0601906
Reference: [29] ŠALOUNOVÁ D.: Lex-ideals of $DR\ell$-monoids and GMV-algebras.Math. Slovaca 53 (2003), 321-330. Zbl 1072.06009, MR 2025465
.

Files

Files Size Format View
MathSlov_57-2007-2_2.pdf 646.1Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo