Title:
|
GMV-algebras and meet-semilattices with sectionally antitone permutations (English) |
Author:
|
Chajda, Ivan |
Author:
|
Kühr, Jan |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
56 |
Issue:
|
3 |
Year:
|
2006 |
Pages:
|
275-288 |
. |
Category:
|
math |
. |
MSC:
|
03G25 |
MSC:
|
06A12 |
MSC:
|
06D35 |
idZBL:
|
Zbl 1141.06002 |
idMR:
|
MR2250079 |
. |
Date available:
|
2009-09-25T14:32:05Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130866 |
. |
Reference:
|
[1] CHAJDA I.-EIGENTHALER G.-LANGER H.: Congruence Classes in Universal Algebra.Heldermann Verlag, Lemgo, 2003. Zbl 1014.08001, MR 1985832 |
Reference:
|
[2] CHAJDA I.: Lattices and semilattices having an antitone involution in every upper interval.Comment. Math. Univ. Carolin. 44 (2003), 577-585. Zbl 1101.06003, MR 2062874 |
Reference:
|
[3] CHAJDA I.-HALAŠ R.-KÜHR J.: Distributive lattices with sectionally antitone involutions.Acta Sci. Math. (Szeged) 71 (2005), 19-33. Zbl 1099.06006, MR 2160352 |
Reference:
|
[4] CIGNOLI R. L. O.-D'OTTAVIANO I. M. L.-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning.Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. Zbl 0937.06009, MR 1786097 |
Reference:
|
[5] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in t-groups.J. Aust. Math. Soc. 72 (2002), 427-445. MR 1902211 |
Reference:
|
[6] DVUREČENSKIJ A.: On pseudo MV-algebras.Soft Comput. 5 (2001), 347-354. Zbl 1081.06010 |
Reference:
|
[7] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439 |
Reference:
|
[8] MUNDICI D.: Interpretation of AF C* -algebras in Lukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173 |
Reference:
|
[9] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434 |
Reference:
|
[10] RACHŮNEK J.: Prime spectra of non-commutative generalizations of MV-algebras.Algebra Universalis 48 (2002), 151-169. Zbl 1058.06015, MR 1929902 |
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