Title:
|
Direct product factors in GMV-algebras (English) |
Author:
|
Rachůnek, Jiří |
Author:
|
Šalounová, Dana |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
55 |
Issue:
|
4 |
Year:
|
2005 |
Pages:
|
399-407 |
. |
Category:
|
math |
. |
MSC:
|
06D35 |
MSC:
|
06F15 |
idZBL:
|
Zbl 1113.06009 |
idMR:
|
MR2181780 |
. |
Date available:
|
2009-09-25T14:27:31Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130795 |
. |
Reference:
|
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Reference:
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[2] CHANG C. C.: Algebraic analysis of many valued logic.Trans. Amer. Math. Soc. 88 (1958), 467-490. MR 0094302 |
Reference:
|
[3] CIGNOLI R. O. L.-D`OTTAVIANO I. M. L.-MUNDICI D.: Algebraic Foundation of Many-Valued Reasoning.Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. MR 1786097 |
Reference:
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[4] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in t-groups.J. Aust. Math. Soc. 70 (2002), 427-445. MR 1902211 |
Reference:
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[5] DVUREČENSKIJ A.: States on pseudo MV-algebras.Studia Logica 68 (2001), 301-327. Zbl 1081.06010, MR 1865858 |
Reference:
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[6] DVUREČENSKIJ A.-PULMANNOVÁ S.: New Trends in Quantum Structures.Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. Zbl 0987.81005, MR 1861369 |
Reference:
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[7] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 |
Reference:
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[8] GLASS A. M. W.: Partially Ordered Groups.World Scientific, Singapore-New Jersey-London-Hong Kong, 1999. Zbl 0933.06010, MR 1791008 |
Reference:
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[9] HÁJEK P.: Metamathematics of Fuzzy Logic.Kluwer, Amsterdam, 1998. Zbl 0937.03030, MR 1900263 |
Reference:
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[10] JAKUBÍK J.: Direct product decompositions of pseudo MV-algebras.Arch. Math. (Brno) 37 (2001), 131-142. Zbl 1070.06003, MR 1838410 |
Reference:
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[11] KOVÁŘ T.: A General Theory of Dually Residuated Lattice Ordered Monoids.Thesis, Palacky Univ., Olomouc, 1996. |
Reference:
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[12] KÜHR J.: Ideals of noncommutative DRl-monoids.Czechoslovak Math. J. 55 (2005), 97-111. MR 2121658 |
Reference:
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[13] KÜHR J.: A generalization of GMV-algebras.Mult.-Valued Log. (To appear). |
Reference:
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[14] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52(127) (2002), 255-273. Zbl 1012.06012, MR 1905434 |
Reference:
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[15] RACHŮNEK J.: Prime spectra of non-commutative generalizations of MV-algebras.Algebra Universalis 48 (2002), 151-169. Zbl 1058.06015, MR 1929902 |
Reference:
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[16] RACHŮNEK J.-ŠALOUNOVÁ D.: Direct decompositions of dually residuated lattice ordered monoids.Discuss. Math. Gen. Algebra Appl. 24 (2004), 63-74. Zbl 1068.06016, MR 2118156 |
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