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Volumn 51, Issue 2-3, 2004, Pages 287-299

On flat semimodules over semirings

Author keywords

Boolean algebra; Bounded distributive lattice; Distributive semilattice; Filtered colimit; Semimodule over semiring; Tensor product

Indexed keywords


EID: 4344660241     PISSN: 00025240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00012-004-1865-1     Document Type: Article
Times cited : (23)

References (27)
  • 3
    • 4344574124 scopus 로고
    • Polygons over distributive lattices
    • in Russian
    • T. S. Fofanova, Polygons over distributive lattices, Siberian Math. J., 12 (1971), 1158-1163 (in Russian).
    • (1971) Siberian Math. J. , vol.12 , pp. 1158-1163
    • Fofanova, T.S.1
  • 4
    • 4344647575 scopus 로고
    • Injectivity of polygons over Boolean algebras
    • in Russian
    • T. S. Fofanova, Injectivity of polygons over Boolean algebras, Siberian Math. J., 13 (1972), 452-158 (in Russian).
    • (1972) Siberian Math. J. , vol.13 , pp. 452-1158
    • Fofanova, T.S.1
  • 5
    • 4344668090 scopus 로고
    • Polygons over distributive lattices
    • Universal Algebra (Esztergom, 1977), B. Csákány et al. eds., North Holland, Amsterdam
    • T. S. Fofanova, Polygons over distributive lattices, in: Universal Algebra (Esztergom, 1977), B. Csákány et al. eds. Colloq. Math. Soc. János Bolyai # 29, North Holland, Amsterdam, 1982.
    • (1982) Colloq. Math. Soc. János Bolyai # 29 , vol.29
    • Fofanova, T.S.1
  • 6
  • 7
    • 0012585982 scopus 로고    scopus 로고
    • Representations of distributive semilattices in ideal lattices of various algebraic structures
    • K. R. Goodearl and F. Wehrung, Representations of distributive semilattices in ideal lattices of various algebraic structures, Algebra Universalis, 45 (2001), 71-102.
    • (2001) Algebra Universalis , vol.45 , pp. 71-102
    • Goodearl, K.R.1    Wehrung, F.2
  • 8
    • 4344608063 scopus 로고
    • Rings over which flat modules are free
    • in Russian
    • V. E. Govorov, Rings over which flat modules are free, DAN USSR, 144 (1962), 965-967 (in Russian).
    • (1962) DAN USSR , vol.144 , pp. 965-967
    • Govorov, V.E.1
  • 13
    • 0002844969 scopus 로고
    • The category of semilattices
    • A. Horn and N. Kimura, The category of semilattices, Algebra Universalis 1 (1971), 26-38.
    • (1971) Algebra Universalis , vol.1 , pp. 26-38
    • Horn, A.1    Kimura, N.2
  • 14
    • 4344569755 scopus 로고
    • Govorov-Lazard's theorem for modules over finite Boolean algebras
    • in Russian
    • E. B. Katsov, Govorov-Lazard's theorem for modules over finite Boolean algebras, Izvestiya Vuz. Matematika, 30 (1986), 8-14 (in Russian).
    • (1986) Izvestiya Vuz. Matematika , vol.30 , pp. 8-14
    • Katsov, E.B.1
  • 15
    • 4344614582 scopus 로고    scopus 로고
    • Tensor products and injective envelopes of semimodules over additively regular semirings
    • Y. Katsov, Tensor products and injective envelopes of semimodules over additively regular semirings, Algebra Colloquium, 4 (1997), 121-131.
    • (1997) Algebra Colloquium , vol.4 , pp. 121-131
    • Katsov, Y.1
  • 16
    • 0034397892 scopus 로고    scopus 로고
    • On diagrams and flatness of functors
    • Y. Katsov, On diagrams and flatness of functors, J. Pure Appl. Algebra (2000) 154, 247-256
    • (2000) J. Pure Appl. Algebra , vol.154 , pp. 247-256
    • Katsov, Y.1
  • 18
    • 4344704129 scopus 로고
    • On flat polygons over distributive lattices
    • Ordered sets and lattices, No. 4, (in Russian)
    • V. S. Kornienko, On flat polygons over distributive lattices, in Ordered sets and lattices, No. 4, Saratov. Cos. Univ., Saratov, 134 (1977) 69-85 (in Russian).
    • (1977) Saratov. Cos. Univ., Saratov , vol.134 , pp. 69-85
    • Kornienko, V.S.1
  • 19
    • 0011493070 scopus 로고
    • Sur les modules plats
    • D. Lazard, Sur les modules plats, C. R. Acad. Sci. Paris, 258 (1964), 6313-6316.
    • (1964) C. R. Acad. Sci. Paris , vol.258 , pp. 6313-6316
    • Lazard, D.1
  • 20
    • 0003152469 scopus 로고
    • Autour de la platitude
    • D. Lazard, Autour de la platitude, Bull. Soc. Math. France, 97 (1969), 81-128.
    • (1969) Bull. Soc. Math. France , vol.97 , pp. 81-128
    • Lazard, D.1
  • 21
    • 0012074126 scopus 로고    scopus 로고
    • Idempotent functional analysis: An algebraic approach
    • G. L. Litvinov, V. P. Maslov and G. B. Shpiz, Idempotent functional analysis: An algebraic approach, Math. Notes, 69 (2001), 696-729.
    • (2001) Math. Notes , vol.69 , pp. 696-729
    • Litvinov, G.L.1    Maslov, V.P.2    Shpiz, G.B.3
  • 24
    • 0003907740 scopus 로고
    • Springer-Verlag, New York-Berlin
    • H. Schubert, Categories, Springer-Verlag, New York-Berlin, 1972.
    • (1972) Categories
    • Schubert, H.1
  • 25
    • 51249192409 scopus 로고
    • Lazard's theorem in algebraic categories
    • R. T. Shannon, Lazard's theorem in algebraic categories, Algebra Universalis, 4 (1974), 226-228.
    • (1974) Algebra Universalis , vol.4 , pp. 226-228
    • Shannon, R.T.1
  • 26
    • 84982653734 scopus 로고
    • Flatness and localization over monoids
    • B. Stenström, Flatness and localization over monoids, Math. Nachr. 48 (1971), 315-334.
    • (1971) Math. Nachr. , vol.48 , pp. 315-334
    • Stenström, B.1
  • 27


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.