Spectral resolutions for -complete lattice effect algebras
Mathematica Slovaca (2006)
- Volume: 56, Issue: 5, page 555-571
- ISSN: 0232-0525
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topPulmannová, Sylvia. "Spectral resolutions for $\sigma $-complete lattice effect algebras." Mathematica Slovaca 56.5 (2006): 555-571. <http://eudml.org/doc/34626>.
@article{Pulmannová2006,
author = {Pulmannová, Sylvia},
journal = {Mathematica Slovaca},
keywords = {-algebra; Dedekind -complete -group; Loomis-Sikorski theorem; tribe; spectral measure; lattice effect algebra; -complete effect algebra; compatibility; block},
language = {eng},
number = {5},
pages = {555-571},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Spectral resolutions for $\sigma $-complete lattice effect algebras},
url = {http://eudml.org/doc/34626},
volume = {56},
year = {2006},
}
TY - JOUR
AU - Pulmannová, Sylvia
TI - Spectral resolutions for $\sigma $-complete lattice effect algebras
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 5
SP - 555
EP - 571
LA - eng
KW - -algebra; Dedekind -complete -group; Loomis-Sikorski theorem; tribe; spectral measure; lattice effect algebra; -complete effect algebra; compatibility; block
UR - http://eudml.org/doc/34626
ER -
References
top- BARBIERI G.-WEBER H., Measures on clans and on MV-algebras, In: Handbook of Measure Theorу, vol II (E. Pap, ed.), Elsevier, Amsterdam, 2002, pp. 911-945 (Chap. 22). Zbl1019.28009MR1954632
- BUTNARIU D.-KLEMENT E., Triangular-norm-based measures and their Markov kernel representation, J. Math. Anal. Appl. 162 (1991), 111-143. (1991) Zbl0751.60003MR1135265
- CHANG C. C., Algebraic analysis of many-valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490. (1958) Zbl0084.00704MR0094302
- CHANG C. C., A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74-80. (1959) Zbl0093.01104MR0122718
- CIGNOLI R.-D'OTTAVIANO I. M. L.-MUNDICI D., Algebraic Foundation of Many-Valued Reasoning, Kluwer Acad. PubL, Dordrecht, 2000. MR1786097
- CHOVANEC F.-KOPKA F., D-lattices, Internat. J. Theoret. Phys. 34 (1995), 1297-1302. (1995) Zbl0840.03046MR1353674
- DVUREČENSKIJ A., [unknown], J. Austral. Math. Soc. Ser. A 68 (2000), 261-277. Zbl0958.06006MR1738040
- DVUREČENSKIJ A., MV-observables and MV-algebras, J. Math. Anal. Appl. 259 (2001), 413-428. Zbl0992.03081MR1842068
- DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Kluwer Acad. Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl0987.81005MR1861369
- DVUREČENSKIJ A.-PULMANNOVÁ S., Conditional probability on a-MV algebras, Fuzzy Sets and Systems 155 (2005), 102-118. MR2206657
- FOULIS D. J.-BENNETT M. K., Effect algebras and unsharp quantum logic, Found. Phys. 24 (1994), 1325-1346. (1994) MR1304942
- FOULIS D. J., Compressible groups, Math. Slovaca 53 (2003), 433-455. Zbl1114.06012MR2038512
- FOULIS D. J., Compressions on partially ordered abelian groups, Proc. Amer. Math.Soc. 132 (2004), 3581-3587. Zbl1063.47003MR2084080
- FOULIS D. J., Spectral resolution in a Rickart comgroup, Rep. Math. Phys. 54 (2004), 319-340. Zbl1161.81310MR2107868
- FOULIS D. J., Compressible groups with general comparability, Math. Slovaca. 55 (2005), 409-429. Zbl1114.06012MR2181781
- FOULIS D. J., MV and Heyting effect algebras, Found. Phys. 30 (2000), 1687-1706. MR1810197
- GIUNTINI R.-GREULING H., Toward a formal language for unsharp properties, Found. Phys. 19 (1989), 931-945. (1989) MR1013913
- GOODEARL K. R., Partially Ordered Abelian Groups with Interpolation, Math. Surveys Monogr. 20, Amer. Math. Soc, Providence, RI, 1986. (1986) Zbl0589.06008MR0845783
- GUDDER S. P., S-dominating effect algebras, Internat. J. Theoret. Phys. 37 (1998), 915-923. (1998) Zbl0932.03072MR1624277
- GUDDER S. P., Compressible effect algebras, Rep. Math. Phys. 54 (2004), 93-114. Zbl1075.81011MR2098374
- JENČA G., Sharp and meager elements in orthocomplete homogeneous effect algebras, Preprint, 2004 (Available from http://www.elf.stuba.sk/'jenca/preprint). Zbl1193.03084MR2601154
- JENČA G.-PULMANNOVÁ S., Orthocomplete effect algebras, Proc Amer. Math.Soc 131 (2003), 2663-2671. Zbl1019.03046MR1974321
- JENČA G.-PULMANNOVÁ S., Ideals and quotients in lattice ordered effect algebras, Soft Comput. 5 (2001), 376-380. Zbl1004.06009
- JENČA G.-RIEČANOVÁ Z., On sharp elements in lattice ordered effect algebras, Busefal 80 (1999), 24-29. (1999)
- KOPKA F.-CHOVANEC F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
- MUNDICI D., Interpretations of -algebras in Lukasziewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) MR0819173
- MUNDICI D., Tensor products and the Loomis-Sikorski theorem for MV-algebras, Adv. in Appl. Math. 22 (1999), 227-248. (1999) Zbl0926.06004MR1659410
- PULMANNOVÁ S., A spectral theorem for a-MV algebras, Kybernetika 41 (2005), 361-374. MR2181424
- PULMANNOVÁ S., Spectral resolutions in Dedekind -complete -groups, J. Math. Anal. Appl. 309 (2005), 322-335. Zbl1072.06014MR2154046
- PULMANNOVÁ S., Commutator-finite D-lattices, Order 21 (2004), 91-105. Zbl1081.06013MR2209320
- PTÁK P.-PULMANNOVÁ S., Orthomodular Structures as Quantum Logics, Kluwer Acad. Publ./VEDA, Dordrecht/Bratislava, 1991. (1991) Zbl0743.03039MR1176314
- RIEČAN B.-NEUBRUNN T., Integral, Measure and Ordering, Kluwer Acad. Publ./ Ister Science, Dordrecht/Bratislava, 1997. (1997) Zbl0916.28001MR1489521
- RIEČANOVÁ Z., Generalization of blocks for D-lattices and lattice ordered effect algebras, Internat. J. Theoret. Phys. 39 (2000), 231-237. Zbl0968.81003MR1762594
- RIEČANOVÁ Z., Smearing of states defined on sharp elements onto effect algebras, Internat. J. Theoret. Phys. 41 (2002), 1511-1524. MR1932844
- VARADARAJAN V. S., Geometry of Quantum Theory, Springer-Verlag, New York, 1985. (1985) Zbl0581.46061MR0805158
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