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Title: On Riečan and Bosbach states for bounded non-commutative $R\ell $-monoids (English)
Author: Dvurečenskij, Anatolij
Author: Rachůnek, Jiří
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 56
Issue: 5
Year: 2006
Pages: 487-500
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Category: math
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MSC: 06D35
MSC: 06F05
idZBL: Zbl 1141.06005
idMR: MR2293582
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Date available: 2009-09-25T14:34:47Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130751
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Reference: [BCGJT] BAHLS P.-COLE J.-GALATOS N.-JIPSEN P.-TSINAKIS C.: Cancelative residuated lattices.Algebra Universalis 50 (2003), 83-106. MR 2026830
Reference: [Boo] BOOLE G.: An Investigation of the Laws of Thought.Macmillan/Dover Press (reprinted), London/New York, 1854/1967. MR 2857913
Reference: [Cha] CHANG C. C.: Algebraic analysis of many valued logics.Trans. Amer. Math. Soc. 88 (1958), 467-490. Zbl 0084.00704, MR 0094302
Reference: [DGI1] DI NOLA A.-GEORGESCU G.-IORGULESCU A.: Pseudo-BL algebras I.Mult.-Valued Log. 8 (2002), 673-714. Zbl 1028.06007, MR 1948853
Reference: [DGI2] DI NOLA A.-GEORGESCU G.-IORGULESCU A.: Pseudo-BL algebras II.Mult.-Valued Log. 8 (2002), 715-750. Zbl 1028.06008, MR 1948854
Reference: [Dvul] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in i-groups.J. Aust. Math. Soc. 70 (2002), 427-445. MR 1902211
Reference: [Dvu2] DVUREČENSKIJ A.: States on pseudo MV-algebras.Studia Logica 68 (2001), 301-327. Zbl 1081.06010, MR 1865858
Reference: [DvPu] DVUREČENSKIJ A.-PULMANNOVÁ S.: New Trends in Quantum Structures.Kluwer Acad. Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl 0987.81005, MR 1861369
Reference: [DvRa1] DVUREČENSKIJ A.-RACHŮNEK J.: Probabilistic averaging in bounded commutative residuated $\ell$-monoids.Discrete Math. 306 (2006), 1317-1326. Zbl 1105.06011, MR 2237716
Reference: [DvRa2] DVUREČENSKIJ A.-RACHŮNEK J.: Probabilistic averaging in bounded $R\ell$-monoids.Semigroup Forum 72 (2006), 190-206. Zbl 1105.06010, MR 2216089
Reference: [Geo] GEORGESCU G.: Bosbach states on fuzzy structures.Soft Comput. 8 (2004), 217-230. Zbl 1081.06012
Reference: [Gelo] GEORGESCU G.-IORGULESCU A.: Pseudo-MV algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439
Reference: [GeLe] GEORGESCU G.-LEUSTEAN L.: Some classes of pseudo-Bl algebras.J. Aust. Math. Soc. 73 (2002), 127-153. Zbl 1016.03069, MR 1916313
Reference: [Goo] GOODEARL K. R.: Partially Ordered Abelian Groups with Interpolation.Math. Surveys Monogr. 20, Amer. Math. Soc, Providence, RI, 1986. Zbl 0589.06008, MR 0845783
Reference: [KoCh] KOPKA F.-CHOVANEC F.: D-posets.Math. Slovaca 44 (1994), 21-34. Zbl 0789.03048, MR 1290269
Reference: [Mun] MUNDICI D.: Averaging the truth-value in Lukasiewicz logic.Studia Logica 55 (1995), 113-127. Zbl 0836.03016, MR 1348840
Reference: [Rac] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434
Reference: [RaSl] RACHŮNEK J.-SLEZÁK V.: Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures.Math. Slovaca 56 (2006), 223-233. Zbl 1150.06015, MR 2229343
Reference: [Rie] RIEČAN B.: On the probability on BL-algebras.Acta Math. Nitra 4 (2000), 3-13.
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