메뉴 건너뛰기




Volumn 199, Issue 3, 1996, Pages 637-653

Boolean products of MV-algebras: Hypernormal MV-algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030140710     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0167     Document Type: Article
Times cited : (27)

References (37)
  • 1
    • 0000728071 scopus 로고
    • Semisimple algebras of infinite valued logic and bold fuzzy set theory
    • 1. L. P. Belluce, Semisimple algebras of infinite valued logic and bold fuzzy set theory, Canad. J. Math. 38 (1986), 1356-1379.
    • (1986) Canad. J. Math. , vol.38 , pp. 1356-1379
    • Belluce, L.P.1
  • 2
    • 0346713040 scopus 로고
    • Semisimple and complete MV-algebras
    • 2. L. P. Belluce, Semisimple and complete MV-algebras, Algebra Universalis 29 (1992), 1-9.
    • (1992) Algebra Universalis , vol.29 , pp. 1-9
    • Belluce, L.P.1
  • 4
    • 0011674039 scopus 로고
    • On the structure of varieties with equationally definable principal congruences. III
    • 4. W. J. Blok and D. Pigozzi, On the structure of varieties with equationally definable principal congruences. III, Algebra Universalis 31 (1994), 1-35.
    • (1994) Algebra Universalis , vol.31 , pp. 1-35
    • Blok, W.J.1    Pigozzi, D.2
  • 5
    • 0011618750 scopus 로고
    • Concerning bricks
    • 5. B. Bosbach, Concerning bricks, Acta Math. Hungar. 38 (1981), 89-104.
    • (1981) Acta Math. Hungar. , vol.38 , pp. 89-104
    • Bosbach, B.1
  • 7
    • 84968495744 scopus 로고
    • Algebraic analysis of many-valued logics
    • 7. C. C. Chang, Algebraic analysis of many-valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490.
    • (1958) Trans. Amer. Math. Soc. , vol.88 , pp. 467-490
    • Chang, C.C.1
  • 8
    • 84968503880 scopus 로고
    • A new proof of the completeness of the Łukasiewicz axioms
    • 8. C. C. Chang, A new proof of the completeness of the Łukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74-80.
    • (1959) Trans. Amer. Math. Soc. , vol.93 , pp. 74-80
    • Chang, C.C.1
  • 9
    • 0011688057 scopus 로고
    • The lattice of global sections of sheaves of chains over Boolean spaces
    • 9. R. Cignoli, The lattice of global sections of sheaves of chains over Boolean spaces, Algebra Universalis 8 (1974), 195-206.
    • (1974) Algebra Universalis , vol.8 , pp. 195-206
    • Cignoli, R.1
  • 10
    • 51649154280 scopus 로고
    • Priestly duality and quotient lattices of many-valued algebras
    • 10. R. Cignoli, A. Di Nola, and A. Lettieri, Priestly duality and quotient lattices of many-valued algebras, Rend. Circ. Mat. Palermo (2) 40 (1991), 119-133.
    • (1991) Rend. Circ. Mat. Palermo (2) , vol.40 , pp. 119-133
    • Cignoli, R.1    Di Nola, A.2    Lettieri, A.3
  • 11
    • 0011685095 scopus 로고
    • Reconstructing C*-algebras from their Murray-von Neumann orders
    • 11. R. Cignoli, G. A. Elliott, and D. Mundici, Reconstructing C*-algebras from their Murray-von Neumann orders, Adv. in Math. 101 (1993), 166-179.
    • (1993) Adv. in Math. , vol.101 , pp. 166-179
    • Cignoli, R.1    Elliott, G.A.2    Mundici, D.3
  • 12
    • 85029969645 scopus 로고    scopus 로고
    • The poset of prime l-ideals of an abelian l-group with strong unit
    • to appear
    • 12. R. Cignoli and A. Torrens, The poset of prime l-ideals of an abelian l-group with strong unit, J. Algebra, to appear.
    • J. Algebra
    • Cignoli, R.1    Torrens, A.2
  • 13
    • 0011551328 scopus 로고
    • 3-permutability and quasicommutative BCK-algebras
    • 13. W. H. Cornish, 3-permutability and quasicommutative BCK-algebras, Math. Japon. 25 (1980), 477-496.
    • (1980) Math. Japon. , vol.25 , pp. 477-496
    • Cornish, W.H.1
  • 14
    • 0002466333 scopus 로고
    • Two problems about perfect distributive lattices
    • 14. H. Dobbertin, G. Hansoul, and J. C. Varlet, Two problems about perfect distributive lattices, Arch. Math. (Basel) 49 (1987), 83-90.
    • (1987) Arch. Math. (Basel) , vol.49 , pp. 83-90
    • Dobbertin, H.1    Hansoul, G.2    Varlet, J.C.3
  • 17
    • 0003210398 scopus 로고
    • General Lattice Theory
    • Academic Press, New York
    • 17. G. Grätzer, "General Lattice Theory," Pure and Applied Mathematics, Vol. 75, Academic Press, New York, 1978.
    • (1978) Pure and Applied Mathematics , vol.75
    • Grätzer, G.1
  • 18
    • 0003432310 scopus 로고
    • "Rings of continuous functions," 2nd ed
    • Springer-Verlag, New York/Berlin
    • 18. L. Gillman and M. Jerison, "Rings of Continuous Functions," 2nd ed., Graduate Texts in Mathematics, Springer-Verlag, New York/Berlin, 1976.
    • (1976) Graduate Texts in Mathematics
    • Gillman, L.1    Jerison, M.2
  • 19
    • 84966250146 scopus 로고
    • Lattices of continuous functions
    • 19. I. Kaplansky, Lattices of continuous functions, Bull. Amer. Math. Soc. 53 (1947), 617-623.
    • (1947) Bull. Amer. Math. Soc. , vol.53 , pp. 617-623
    • Kaplansky, I.1
  • 20
    • 84972541491 scopus 로고
    • Super-Łukasiewicz propositional logics
    • 20. Y. Komori, Super-Łukasiewicz propositional logics, Nagoya Math. J. 84 (1981), 119-133.
    • (1981) Nagoya Math. J. , vol.84 , pp. 119-133
    • Komori, Y.1
  • 21
    • 0004273236 scopus 로고
    • (J. D. Monk and R. Bonnet, Eds.), Elsevier, New York
    • 21. S. Koppelberg, "Handbook of Boolean Algebras," Vol. 1 (J. D. Monk and R. Bonnet, Eds.), Elsevier, New York, 1989.
    • (1989) Handbook of Boolean Algebras , vol.1
    • Koppelberg, S.1
  • 23
    • 0011621713 scopus 로고
    • Alcune proprietá delle Ł-algebre esistenzialmente chiuse
    • 23. F. Lacava, Alcune proprietá delle Ł-algebre esistenzialmente chiuse, Boll. Un. Mat. Ital. A (5) 16 (1979), 360-366.
    • (1979) Boll. Un. Mat. Ital. A (5) , vol.16 , pp. 360-366
    • Lacava, F.1
  • 24
    • 84972564730 scopus 로고
    • Relative annihilators in lattices
    • 24. M. Mandelker, Relative annihilators in lattices, Duke Math. J. 37 (1970), 337-386.
    • (1970) Duke Math. J. , vol.37 , pp. 337-386
    • Mandelker, M.1
  • 25
    • 4344587213 scopus 로고
    • L'arithmetique des filtres et les spaces topologiques, I, II
    • 25. A. Monteiro, L'arithmetique des Filtres et les Spaces Topologiques, I, II, Notas Lógica Mat., 29-30, 1974.
    • (1974) Notas Lógica Mat. , vol.29-30
    • Monteiro, A.1
  • 26
    • 0001797805 scopus 로고
    • Interpretation of AF C*-algebras in Łukasiewicz sentential calculus
    • 26. D. Mundici, Interpretation of AF C*-algebras in Łukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63.
    • (1986) J. Funct. Anal. , vol.65 , pp. 15-63
    • Mundici, D.1
  • 27
    • 0001494367 scopus 로고
    • MV-algebras are categorically equivalent to bounded commutative BCK-algebras
    • 27. D. Mundici, MV-algebras are categorically equivalent to bounded commutative BCK-algebras, Math. Japon. 31 (1986), 889-894.
    • (1986) Math. Japon. , vol.31 , pp. 889-894
    • Mundici, D.1
  • 28
    • 0002472524 scopus 로고
    • 0 of C*-algebras
    • 0 of C*-algebras, Adv. Math. 68 (1988), 23-39.
    • (1988) Adv. Math. , vol.68 , pp. 23-39
    • Mundici, D.1
  • 29
    • 0011555962 scopus 로고
    • The C*-algebras of the three-valued logics
    • (Ferro, Bonotto, Valentini, and Zanardo, Eds.), Elsevier/North-Holland, New York/Amsterdam
    • 29. D. Mundici, The C*-algebras of the three-valued logics, in "Logic Colloquium 88" (Ferro, Bonotto, Valentini, and Zanardo, Eds.), pp. 23-39, Elsevier/North-Holland, New York/Amsterdam, 1989.
    • (1989) Logic Colloquium , vol.88 , pp. 23-39
    • Mundici, D.1
  • 30
    • 0002485872 scopus 로고
    • The logic of Ulam's game with lies
    • (Bicchieri, Dalla Chiara, Eds.), Cambridge Univ. Press, Cambridge
    • 30. D. Mundici, The Logic of Ulam's Game with Lies, in "Knowledge, Belief and Strategic Interaction" (Bicchieri, Dalla Chiara, Eds.), Cambridge Univ. Press, Cambridge, 1992.
    • (1992) Knowledge, Belief and Strategic Interaction
    • Mundici, D.1
  • 31
    • 0000046768 scopus 로고
    • Extending addition in Elliott's local semigroup
    • 31. D. Mundici and G. Panti, Extending addition in Elliott's local semigroup, J. Fumet. Anal. 17 (1993), 461-472.
    • (1993) J. Fumet. Anal. , vol.17 , pp. 461-472
    • Mundici, D.1    Panti, G.2
  • 33
    • 0002269696 scopus 로고
    • A general theory of spectra, II
    • 33. M. H. Stone, A general theory of spectra, II, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 83-87.
    • (1941) Proc. Nat. Acad. Sci. U.S.A. , vol.27 , pp. 83-87
    • Stone, M.H.1
  • 35
    • 0001037921 scopus 로고
    • W-algebras which are Boolean products of members of SR[1] and CW-algebras
    • 35. A. Torrens, W-algebras which are Boolean products of members of SR[1] and CW-algebras, Studia Logica 46 (1987), 265-274.
    • (1987) Studia Logica , vol.46 , pp. 265-274
    • Torrens, A.1
  • 36
    • 0002153765 scopus 로고
    • Boolean products of CW-algebras and pseudo-complementation
    • 36. A. Torrens, Boolean products of CW-algebras and pseudo-complementation, Rep. Math. Logic 23 (1989), 31-38.
    • (1989) Rep. Math. Logic , vol.23 , pp. 31-38
    • Torrens, A.1
  • 37
    • 0000878208 scopus 로고
    • On the variety of bounded commutative BCK-algebras
    • 37. T. Traczyk, On the variety of bounded commutative BCK-algebras, Math. Japon. 24 (1979), 263-272.
    • (1979) Math. Japon. , vol.24 , pp. 263-272
    • Traczyk, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.