메뉴 건너뛰기




Volumn 17, Issue 4, 2007, Pages 749-765

Spectral duality for finitely generated nilpotent minimum algebras, with applications

Author keywords

Amalgamation; Interpolation; Prime spectrum; Spectral duality; T norm based logics

Indexed keywords

COMPUTATIONAL METHODS; FORMAL LOGIC;

EID: 34548410836     PISSN: 0955792X     EISSN: 1465363X     Source Type: Journal    
DOI: 10.1093/logcom/exm021     Document Type: Article
Times cited : (21)

References (26)
  • 3
    • 33745920805 scopus 로고    scopus 로고
    • Free Nilpotent Minimum Algebras
    • M. Busaniche. Free Nilpotent Minimum Algebras. Mathematical Logic Quarterly, 52, 219-236, 2006.
    • (2006) Mathematical Logic Quarterly , vol.52 , pp. 219-236
    • Busaniche, M.1
  • 4
    • 0040452624 scopus 로고
    • Logical matrices and the amalgamation property
    • J. Czelakowski. Logical matrices and the amalgamation property. Studia Logica, 41, 329-341, 1982.
    • (1982) Studia Logica , vol.41 , pp. 329-341
    • Czelakowski, J.1
  • 5
    • 28644431767 scopus 로고    scopus 로고
    • Amalgamation and interpolation in abstract algebraic logic
    • Models, Algebras, and Proofs, X. Caicedo and C. H. Montenegro eds
    • J. Czelakowski and D. Pigozzi. Amalgamation and interpolation in abstract algebraic logic. In Models, Algebras, and Proofs, X. Caicedo and C. H. Montenegro eds, Lecture Notes in Pure and Applied Mathematics, 203, pp. 187-265. 1999.
    • (1999) Lecture Notes in Pure and Applied Mathematics , vol.203 , pp. 187-265
    • Czelakowski, J.1    Pigozzi, D.2
  • 6
    • 33745635357 scopus 로고    scopus 로고
    • Computing co-products of finitely presented Gödel algebras
    • O. M. D'Antona and V. Marra. Computing co-products of finitely presented Gödel algebras. Annals of Pure and Applied Logic, 142, 202-211, 2005.
    • (2005) Annals of Pure and Applied Logic , vol.142 , pp. 202-211
    • D'Antona, O.M.1    Marra, V.2
  • 7
    • 84968468755 scopus 로고
    • Dualities for equational classes of Brouwerian algebras and Heyting algebras
    • B. A. Davey. Dualities for equational classes of Brouwerian algebras and Heyting algebras. Transactions of the American Mathematical Society, 221, 119-145, 1976.
    • (1976) Transactions of the American Mathematical Society , vol.221 , pp. 119-145
    • Davey, B.A.1
  • 9
    • 0035900852 scopus 로고    scopus 로고
    • Monoidal t-norm-based logic: Towards a logic for left continuous t-norms
    • F. Esteva and L. Godo. Monoidal t-norm-based logic: towards a logic for left continuous t-norms. Fuzzy Sets and Systems, 124, 271-288, 2001.
    • (2001) Fuzzy Sets and Systems , vol.124 , pp. 271-288
    • Esteva, F.1    Godo, L.2
  • 12
    • 33746124999 scopus 로고    scopus 로고
    • Algebraization, parametrized local deduction theorem and interpolation for substructural logics over FL
    • N. Galatos and H. Ono. Algebraization, parametrized local deduction theorem and interpolation for substructural logics over FL. Studia Logica, 83, 279-308, 2006.
    • (2006) Studia Logica , vol.83 , pp. 279-308
    • Galatos, N.1    Ono, H.2
  • 14
    • 26044448742 scopus 로고    scopus 로고
    • Axiomatic extensions of the Nilpotent Minimum Logic
    • 113-123
    • J. Gispert i Brasó. Axiomatic extensions of the Nilpotent Minimum Logic. Reports on Mathematical Logic, 37, 113-123, 2003.
    • (2003) Reports on Mathematical Logic , vol.37
    • Gispert i Brasó, J.1
  • 16
    • 0002753240 scopus 로고
    • Commutative, residuated 1-monoids
    • U. Hole and E. P. Klement eds, Kluwer Academic Publishers, Dordrecht
    • U. Höhle. Commutative, residuated 1-monoids. In Non-classical Logics and their Applications to Fuzzy Subsets, U. Hole and E. P. Klement eds, Kluwer Academic Publishers, Dordrecht, 1995.
    • (1995) Non-classical Logics and their Applications to Fuzzy Subsets
    • Höhle, U.1
  • 18
    • 0038336663 scopus 로고    scopus 로고
    • On the structure of rotation invariant semigroups
    • S. Jenei. On the structure of rotation invariant semigroups. Archive for Mathematical Logic, 42, 489-514, 2003.
    • (2003) Archive for Mathematical Logic , vol.42 , pp. 489-514
    • Jenei, S.1
  • 19
    • 39749111349 scopus 로고    scopus 로고
    • A Proof of standard completeness for esteva and Godo's Logic MTL
    • S. Jenei and F. Montagna. A Proof of standard completeness for esteva and Godo's Logic MTL. Studia Logica, 70, 183-192, 2002.
    • (2002) Studia Logica , vol.70 , pp. 183-192
    • Jenei, S.1    Montagna, F.2
  • 20
    • 0142205490 scopus 로고    scopus 로고
    • A survey of residuated lattices
    • J. Martinez, ed, pp, Kluwer Academic Publisher, Dordrecht
    • P. Jipsen and C. Tsinakis. A survey of residuated lattices. In Ordered Algebraic Structures, J. Martinez, ed., pp. 19-56. Kluwer Academic Publisher, Dordrecht, 2002.
    • (2002) Ordered Algebraic Structures , pp. 19-56
    • Jipsen, P.1    Tsinakis, C.2
  • 24
    • 26044437946 scopus 로고    scopus 로고
    • Perfect and bipartite IMTL- algebras and disconnected rotations of prelinear semigroups
    • C. Noguera, F. Esteva and J. Gispert. Perfect and bipartite IMTL- algebras and disconnected rotations of prelinear semigroups. Archive for Mathematical Logic, 44, 869-886, 2005.
    • (2005) Archive for Mathematical Logic , vol.44 , pp. 869-886
    • Noguera, C.1    Esteva, F.2    Gispert, J.3
  • 25
    • 0142236398 scopus 로고    scopus 로고
    • Substructural logics and residuated lattices - an introduction
    • 50 Years of Studia Logica, V. F. Hendricks and J. Malinowski eds, Kluwer Academic Publishers, Dordrecht
    • H. Ono. Substructural logics and residuated lattices - an introduction. In 50 Years of Studia Logica, V. F. Hendricks and J. Malinowski eds, Trends in Logic vol. 21, Kluwer Academic Publishers, Dordrecht, 2003.
    • (2003) Trends in Logic , vol.21
    • Ono, H.1
  • 26
    • 2942627695 scopus 로고    scopus 로고
    • A characterization of truth-functions in the nilpotent minimum logic
    • S. M. Wang, B. S. Wang and X. Y. Wang. A characterization of truth-functions in the nilpotent minimum logic. Fuzzy Sets and Systems, 145, 253-266, 2004.
    • (2004) Fuzzy Sets and Systems , vol.145 , pp. 253-266
    • Wang, S.M.1    Wang, B.S.2    Wang, X.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.