메뉴 건너뛰기




Volumn 238, Issue 1, 2001, Pages 345-371

Bounded lattice expansions

Author keywords

Algebras with a lattice reduct; Canonical extensions; Functoriality; Galois connections; Preservation of identities

Indexed keywords


EID: 0035315080     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.2000.8622     Document Type: Article
Times cited : (201)

References (36)
  • 1
    • 0000024664 scopus 로고
    • Kripke models for linear logic
    • Allwein G., Dunn J. M. Kripke models for linear logic. J. Symbolic Logic. 58:1993;514-545.
    • (1993) J. Symbolic Logic , vol.58 , pp. 514-545
    • Allwein, G.1    Dunn J., M.2
  • 2
    • 0007148728 scopus 로고
    • Some kinds of modal completeness
    • van Benthem J. A. F. K. Some kinds of modal completeness. Studia Logica. 39:1980;125-141.
    • (1980) Studia Logica , vol.39 , pp. 125-141
    • Van Benthem J. A. F., K.1
  • 3
    • 84910707803 scopus 로고
    • American Mathematical Society Colloquium Publications. Providence: Amer. Math. Soc.
    • Birkhoff G. Lattice Theory. American Mathematical Society Colloquium Publications. 25:1967;Amer. Math. Soc. Providence.
    • (1967) Lattice Theory , vol.25
    • Birkhoff, G.1
  • 4
    • 0000761109 scopus 로고
    • The lattice of modal logics: An algebraic investigation
    • Blok W. J. The lattice of modal logics: an algebraic investigation. J. Symbolic Logic. 45:1980;221-236.
    • (1980) J. Symbolic Logic , vol.45 , pp. 221-236
    • Blok W., J.1
  • 9
    • 38149144768 scopus 로고
    • Quantifiers on distributive lattices
    • Cignoli R. Quantifiers on distributive lattices. Discrete Math. 96:1991;183-197.
    • (1991) Discrete Math. , vol.96 , pp. 183-197
    • Cignoli, R.1
  • 12
    • 0000536688 scopus 로고
    • Positive modal logic
    • Dunn J. M. Positive modal logic. Studia Logica. 55:1995;301-317.
    • (1995) Studia Logica , vol.55 , pp. 301-317
    • Dunn J., M.1
  • 15
    • 0007129043 scopus 로고
    • Bounded distributive lattices with operators
    • Gehrke M., Jónsson B. Bounded distributive lattices with operators. Math. Japon. 40:1994;207-215.
    • (1994) Math. Japon , vol.40 , pp. 207-215
    • Gehrke, M.1    Jónsson, B.2
  • 16
    • 0007091435 scopus 로고    scopus 로고
    • Monotone bounded distributive lattice expansions
    • Gehrke M., Jónsson B. Monotone bounded distributive lattice expansions. Math. Japon. 52:2000;197-213.
    • (2000) Math. Japon , vol.52 , pp. 197-213
    • Gehrke, M.1    Jónsson, B.2
  • 18
    • 0031566424 scopus 로고    scopus 로고
    • Constructive canonicity in non-classical logics
    • Ghilardi S., Meloni G. Constructive canonicity in non-classical logics. Ann. Pure Appl. Logic. 86:1997;1-32.
    • (1997) Ann. Pure Appl. Logic , vol.86 , pp. 1-32
    • Ghilardi, S.1    Meloni, G.2
  • 19
    • 0000205398 scopus 로고
    • Varieties of complex algebras
    • Goldblatt R. Varieties of complex algebras. Ann. Pure Appl. Logic. 44:1989;173-242.
    • (1989) Ann. Pure Appl. Logic , vol.44 , pp. 173-242
    • Goldblatt, R.1
  • 20
    • 0007139493 scopus 로고
    • On closure under canonical embedding algebras
    • Colloq. Math. Soc. J. Bolyai. Amsterdam: North-Holland. p. 217-231
    • Goldblatt R. On closure under canonical embedding algebras. Algebraic Logic, Proc. Conf. Budapest 1988. Colloq. Math. Soc. J. Bolyai. 54:1991;North-Holland, Amsterdam. p. 217-231.
    • (1991) Algebraic Logic, Proc. Conf. Budapest 1988 , vol.54
    • Goldblatt, R.1
  • 21
    • 0000707868 scopus 로고
    • The McKinsey axiom is not canonical
    • Goldblatt R. The McKinsey axiom is not canonical. J. Symbolic Logic. 56:1991;554-562.
    • (1991) J. Symbolic Logic , vol.56 , pp. 554-562
    • Goldblatt, R.1
  • 22
    • 0007090476 scopus 로고    scopus 로고
    • Canonical completions of lattices and ortholattices
    • Harding J. Canonical completions of lattices and ortholattices. Tatra Mt. Math. Publ. 15:1998;85-96.
    • (1998) Tatra Mt. Math. Publ. , vol.15 , pp. 85-96
    • Harding, J.1
  • 23
    • 0001268350 scopus 로고    scopus 로고
    • Duality for lattice-ordered algebras and normal algebraizable logics
    • Hartonas C. Duality for lattice-ordered algebras and normal algebraizable logics. Studia Logica. 58:1997;403-450.
    • (1997) Studia Logica , vol.58 , pp. 403-450
    • Hartonas, C.1
  • 24
    • 0000296370 scopus 로고
    • A topological representation of lattices
    • Hartung G. A topological representation of lattices. Algebra Universalis. 29:1992;273-299.
    • (1992) Algebra Universalis , vol.29 , pp. 273-299
    • Hartung, G.1
  • 25
    • 84972572216 scopus 로고
    • Extending Boolean operations
    • Henkin L. Extending Boolean operations. Pacific J. Math. 32:1970;723-752.
    • (1970) Pacific J. Math. , vol.32 , pp. 723-752
    • Henkin, L.1
  • 26
    • 0001169610 scopus 로고
    • On the canonicity of Sahlqvist identities
    • Jónsson B. On the canonicity of Sahlqvist identities. Studia Logica. 53:1994;473-491.
    • (1994) Studia Logica , vol.53 , pp. 473-491
    • Jónsson, B.1
  • 27
    • 0007038909 scopus 로고
    • A survey of Boolean algebras with operators
    • NATO Adv. Sci. Inst. Ser. C. Math. Phys. Sci. Dordrecht: Kluwer Academic. p. 239-286
    • Jónsson B. A survey of Boolean algebras with operators. Algebras and Orders (Montreal, PQ, 1991). NATO Adv. Sci. Inst. Ser. C. Math. Phys. Sci. 389:1993;Kluwer Academic, Dordrecht. p. 239-286.
    • (1993) Algebras and Orders (Montreal, PQ, 1991) , vol.389
    • Jónsson, B.1
  • 28
    • 0001521953 scopus 로고
    • Boolean algebras with operators, I
    • Jónsson B., Tarski A. Boolean algebras with operators, I. Amer. J. Math. 73:1951;891-993.
    • (1951) Amer. J. Math. , vol.73 , pp. 891-993
    • Jónsson, B.1    Tarski, A.2
  • 29
    • 0001318162 scopus 로고
    • Boolean algebras with operators, II
    • Jónsson B., Tarski A. Boolean algebras with operators, II. Amer. J. Math. 74:1952;127-162.
    • (1952) Amer. J. Math. , vol.74 , pp. 127-162
    • Jónsson, B.1    Tarski, A.2
  • 30
    • 0002648103 scopus 로고    scopus 로고
    • Kripke semantics for logics with BCK implication
    • MacCaull W. Kripke semantics for logics with BCK implication. Bull. Sect. Logic Univ. Lódź 25:1996;41-51.
    • (1996) Bull. Sect. Logic Univ. Lódź , vol.25 , pp. 41-51
    • MacCaull, W.1
  • 31
    • 0003370094 scopus 로고
    • Natural dualities for varieties of distributive lattices with a quantifier
    • Banach Center Publ. Warsaw: Polish Acad. Sci. p. 291-310
    • Priestley H. A. Natural dualities for varieties of distributive lattices with a quantifier. Algebraic Methods in Logic and Computer Science (Warsaw, 1991). Banach Center Publ. 28:1993;Polish Acad. Sci. Warsaw. p. 291-310.
    • (1993) Algebraic Methods in Logic and Computer Science (Warsaw, 1991) , vol.28
    • Priestley H., A.1
  • 32
    • 0038969198 scopus 로고    scopus 로고
    • Varieties of distributive lattices with unary operations, I
    • Priestley H. A. Varieties of distributive lattices with unary operations, I. J. Austral. Math. Soc. Ser. A. 63:1997;165-207.
    • (1997) J. Austral. Math. Soc. Ser. A , vol.63 , pp. 165-207
    • Priestley H., A.1
  • 33
    • 0001727535 scopus 로고    scopus 로고
    • Varieties of distributive lattices with unary operations, II
    • Priestley H. A., Santos R. Varieties of distributive lattices with unary operations, II. Portugal. Math. 55:1998;135-166.
    • (1998) Portugal. Math. , vol.55 , pp. 135-166
    • Priestley H., A.1    Santos, R.2
  • 34
    • 77956968248 scopus 로고
    • Completeness and correspondence in the first and second order semantics for modal logic
    • Stud. Logic Found. Math. Amsterdam: North-Holland. p. 110-143
    • Sahlqvist H. Completeness and correspondence in the first and second order semantics for modal logic. Proceedings of the Third Scandinavian Logic Symposium (Univ. Uppsala, Uppsala, 1973). Stud. Logic Found. Math. 82:1975;North-Holland, Amsterdam. p. 110-143.
    • (1975) Proceedings of the Third Scandinavian Logic Symposium (Univ. Uppsala, Uppsala, 1973) , vol.82
    • Sahlqvist, H.1
  • 35
    • 52849099041 scopus 로고    scopus 로고
    • Duality and canonical extensions of bounded distributive lattices with operators, and applications to the semantics of non-classical logics, I, II
    • Sofronie-Stokkermans V. Duality and canonical extensions of bounded distributive lattices with operators, and applications to the semantics of non-classical logics, I, II. Studia Logica. 64:2000;93-132.
    • (2000) Studia Logica , vol.64 , pp. 93-132
    • Sofronie-Stokkermans, V.1
  • 36
    • 51249181509 scopus 로고
    • A topological representation theory for lattices
    • Urquhart A. A topological representation theory for lattices. Algebra Universalis. 8:1978;45-58.
    • (1978) Algebra Universalis , vol.8 , pp. 45-58
    • Urquhart, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.