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Volumn 63, Issue 2, 1997, Pages 165-207

Varieties of distributive lattices with unary operations I

Author keywords

Free algebra; Monoid; Natural duality; Priestley duality

Indexed keywords


EID: 0038969198     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s144678870000063x     Document Type: Article
Times cited : (15)

References (38)
  • 1
    • 0007343699 scopus 로고
    • Equational bases for varieties of Ockham algebras
    • M. E. Adams and H. A. Priestley, 'Equational bases for varieties of Ockham algebras', Algebra Universalis 32 (1994), 368-397.
    • (1994) Algebra Universalis , vol.32 , pp. 368-397
    • Adams, M.E.1    Priestley, H.A.2
  • 3
    • 0039278691 scopus 로고
    • Ockham algebras with de Morgan skeletons
    • T. S. Blyth, A. S. A. Noor and J. C. Varlet, 'Ockham algebras with de Morgan skeletons', J. Algebra 117 (1988), 165-178.
    • (1988) J. Algebra , vol.117 , pp. 165-178
    • Blyth, T.S.1    Noor, A.S.A.2    Varlet, J.C.3
  • 4
    • 84974037929 scopus 로고
    • Equational bases for subvarieties of double MS-algebras
    • _, 'Equational bases for subvarieties of double MS-algebras', Glasgow Math. J. 31 (1989), 1-16.
    • (1989) Glasgow Math. J. , vol.31 , pp. 1-16
  • 6
    • 0003648427 scopus 로고
    • Oxford University Press, Oxford
    • _, Ockham algebras (Oxford University Press, Oxford, 1994).
    • (1994) Ockham Algebras
  • 8
    • 51249181553 scopus 로고
    • The lattice structure of some Łukasiewicz algebras
    • R. Cignoli and M. S. de Gallego, 'The lattice structure of some Łukasiewicz algebras', Algebra Universalis 13 (1981), 315-328.
    • (1981) Algebra Universalis , vol.13 , pp. 315-328
    • Cignoli, R.1    De Gallego, M.S.2
  • 9
    • 84974489258 scopus 로고
    • Dualities for some De Morgan algebras with operators and Łukasiewicz algebras
    • _, 'Dualities for some De Morgan algebras with operators and Łukasiewicz algebras', J. Austral. Math. Soc. (Series A) 34 (1983), 377-393.
    • (1983) J. Austral. Math. Soc. (Series A) , vol.34 , pp. 377-393
  • 12
    • 0013558541 scopus 로고
    • Antimorphic action. Categories of algebraic structures with involutions or anti-endomorphisms
    • Heldermann Verlag, Berlin
    • _, Antimorphic action. Categories of algebraic structures with involutions or anti-endomorphisms, R & E Res. Exp. Math., 12 (Heldermann Verlag, Berlin, 1986).
    • (1986) R & E Res. Exp. Math. , vol.12
  • 14
    • 0002261528 scopus 로고
    • On the lattice of subvarieties
    • B. A. Davey, 'On the lattice of subvarieties', Houston J. Math. 5 (1979), 183-192.
    • (1979) Houston J. Math. , vol.5 , pp. 183-192
    • Davey, B.A.1
  • 15
    • 0003138525 scopus 로고
    • Duality theory on ten dollars a day
    • (eds. I. G. Rosenberg and G. Sabidussi) NATO Advanced Study Institute Series, Series C, Kluwer, Dordrecht
    • _, 'Duality theory on ten dollars a day', in: Algebras and orders (eds. I. G. Rosenberg and G. Sabidussi) NATO Advanced Study Institute Series, Series C, 389 (Kluwer, Dordrecht, 1993), 71-111.
    • (1993) Algebras and Orders , vol.389 , pp. 71-111
  • 17
    • 0000603120 scopus 로고
    • Generalised piggyback dualities and applications to Ockham algebras
    • _, 'Generalised piggyback dualities and applications to Ockham algebras', Houston J. Math. 13 (1987), 151-197.
    • (1987) Houston J. Math. , vol.13 , pp. 151-197
  • 18
    • 0004232136 scopus 로고
    • Cambridge University Press, Cambridge
    • _, Introduction to lattices and order (Cambridge University Press, Cambridge, 1990).
    • (1990) Introduction to Lattices and Order
  • 19
    • 0002674565 scopus 로고
    • Dualities and equivalences for varieties of algebras
    • (eds. A. P. Huhn and E. T. Schmidt) Colloq. Math. Soc. János Bolyai North-Holland, Amsterdam
    • B. A. Davey and H. Werner, 'Dualities and equivalences for varieties of algebras', in: Contributions to lattice theory (Szeged, 1980) (eds. A. P. Huhn and E. T. Schmidt) Colloq. Math. Soc. János Bolyai 33, (North-Holland, Amsterdam 1983), pp. 101-275.
    • (1983) Contributions to Lattice Theory (Szeged, 1980) , vol.33 , pp. 101-275
    • Davey, B.A.1    Werner, H.2
  • 20
    • 84971110380 scopus 로고
    • Piggyback-dualitäten
    • _, 'Piggyback-dualitäten', Bull. Austral. Math. Soc. 32 (1985), 1-32.
    • (1985) Bull. Austral. Math. Soc. , vol.32 , pp. 1-32
  • 21
    • 0001824157 scopus 로고
    • Piggyback dualities
    • _, 'Piggyback dualities', in: Colloq. Math. Soc. János Bolyai 43 (1986), 61-83.
    • (1986) Colloq. Math. Soc. János Bolyai , vol.43 , pp. 61-83
  • 22
    • 84971187827 scopus 로고
    • Distributive Ockham algebras: Free algebras and injectivity
    • M. S. Goldberg, 'Distributive Ockham algebras: free algebras and injectivity', Bull. Austral. Math. Soc. 24 (1981), 161-203.
    • (1981) Bull. Austral. Math. Soc. , vol.24 , pp. 161-203
    • Goldberg, M.S.1
  • 23
    • 0013482949 scopus 로고
    • Subdirectly irreducible and free Kleene-Stone algebras
    • F. Guzman and C. C. Squier, 'Subdirectly irreducible and free Kleene-Stone algebras', Algebra Universalis 31 (1994), 266-273.
    • (1994) Algebra Universalis , vol.31 , pp. 266-273
    • Guzman, F.1    Squier, C.C.2
  • 24
    • 0001867225 scopus 로고
    • Ordered sets and duality for distributive lattices
    • (eds. M. Pouzet and D. Richard), Ann. Discrete Math. North-Holland, Amsterdam
    • H. A. Priestley, 'Ordered sets and duality for distributive lattices', in: Orders, description and roles (eds. M. Pouzet and D. Richard), Ann. Discrete Math. 23 (North-Holland, Amsterdam, 1984), pp. 39-60.
    • (1984) Orders, Description and Roles , vol.23 , pp. 39-60
    • Priestley, H.A.1
  • 25
    • 0007206542 scopus 로고
    • The determination of the lattices of subvarieties of certain congruence-distributive varieties
    • _, 'The determination of the lattices of subvarieties of certain congruence-distributive varieties', Algebra Universalis 32 (1994), 44-62.
    • (1994) Algebra Universalis , vol.32 , pp. 44-62
  • 27
    • 0007334360 scopus 로고
    • A note on equational bases
    • _, 'A note on equational bases', Bull. Soc. Roy. Sci. Liège 64 (1995), 113-118.
    • (1995) Bull. Soc. Roy. Sci. Liège , vol.64 , pp. 113-118
  • 28
    • 0013521853 scopus 로고    scopus 로고
    • Natural dualities for varieties of n-valued Łukasiewicz algebras
    • _, 'Natural dualities for varieties of n-valued Łukasiewicz algebras', Studia Logica 54, 333-370.
    • Studia Logica , vol.54 , pp. 333-370
  • 31
    • 33748599215 scopus 로고    scopus 로고
    • Varieties of distributive lattices with unary operations II
    • to appear
    • _, 'Varieties of distributive lattices with unary operations II', Portugal Math., to appear.
    • Portugal Math.
  • 36
    • 0007276077 scopus 로고
    • Lattices with a dual homomorphic operation
    • A. Urquhart, 'Lattices with a dual homomorphic operation', Studia Logica 38 (1979), 201-209.
    • (1979) Studia Logica , vol.38 , pp. 201-209
    • Urquhart, A.1
  • 37
    • 0007265330 scopus 로고
    • Lattices with a dual homomorphic operation II
    • _, 'Lattices with a dual homomorphic operation II', Studia Logica 40 (1981), 391-404.
    • (1981) Studia Logica , vol.40 , pp. 391-404
  • 38
    • 0039870478 scopus 로고
    • MS-algebras: A survey
    • (eds. J. Almeida, G. Bordalo and Ph. Dwinger) Plenum Press, New York
    • J. C. Varlet, 'MS-algebras: a survey', in: Lattices, semigroups and universal algebra (Lisbon, 1988) (eds. J. Almeida, G. Bordalo and Ph. Dwinger) (Plenum Press, New York, 1990), pp. 299-313.
    • (1990) Lattices, Semigroups and Universal Algebra (Lisbon, 1988) , pp. 299-313
    • Varlet, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.