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Volumn 191, Issue 1, 1997, Pages 174-211

Gotzmann theorems for exterior algebras and combinatorics

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EID: 0031142636     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.6903     Document Type: Article
Times cited : (83)

References (32)
  • 2
    • 0001117561 scopus 로고    scopus 로고
    • Koszul cycles and Eliahou-Kervaire type resolutions
    • Aramova A., Herzog J. Koszul cycles and Eliahou-Kervaire type resolutions. J. Algebra. 183:1996;347-370.
    • (1996) J. Algebra , vol.183 , pp. 347-370
    • Aramova, A.1    Herzog, J.2
  • 4
    • 84972552380 scopus 로고
    • A theorem on refining division orders by the reverse lexicographical order
    • Bayer D., Stillman M. A theorem on refining division orders by the reverse lexicographical order. Duke Math. J. 55:1987;321-328.
    • (1987) Duke Math. J. , vol.55 , pp. 321-328
    • Bayer, D.1    Stillman, M.2
  • 5
    • 65249142357 scopus 로고
    • Upper bounds for the Betti numbers of a given Hilbert function
    • Bigatti A. M. Upper bounds for the Betti numbers of a given Hilbert function. Comm. Algebra. 21:1993;2317-2334.
    • (1993) Comm. Algebra , vol.21 , pp. 2317-2334
    • Bigatti, A.M.1
  • 7
    • 0001166835 scopus 로고
    • An extended Euler-Poincaré theorem
    • Björner A., Kalai G. An extended Euler-Poincaré theorem. Acta Math. 161:1988;279-303.
    • (1988) Acta Math. , vol.161 , pp. 279-303
    • Björner, A.1    Kalai, G.2
  • 8
    • 0011030580 scopus 로고
    • Onf, combinatorial mathematics: Proceedings of the third international conference
    • New York G. Bloom
    • A. Björner, G. Kalai, 1989, Onf, Combinatorial Mathematics: Proceedings of the Third International Conference, New York, 1985, G. Bloom, Ann. N.Y. Acad. Sci. 555, 63, 80.
    • (1985) Ann. N.Y. Acad. Sci. , vol.555 , pp. 63
    • Björner, A.1    Kalai, G.2
  • 9
    • 0004286644 scopus 로고
    • Cambridge/New York/Sydney: Cambridge Univ. Press
    • Burns W., Herzog J. Cohen-Macaulay Rings. 1993;Cambridge Univ. Press, Cambridge/New York/Sydney.
    • (1993) Cohen-Macaulay Rings
    • Burns, W.1    Herzog, J.2
  • 11
    • 34250482708 scopus 로고    scopus 로고
    • Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
    • B. Buchberger, Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems, Aequationes Math. 4, 374, 383.
    • Aequationes Math. , vol.4 , pp. 374
    • Buchberger, B.1
  • 12
    • 0001565770 scopus 로고
    • A simple proof of the Kruskal-Katona theorem
    • Daykin D. E. A simple proof of the Kruskal-Katona theorem. J. Combin. Theory Ser. A. 17:1974;252-253.
    • (1974) J. Combin. Theory Ser. A , vol.17 , pp. 252-253
    • Daykin, D.E.1
  • 14
    • 0002557565 scopus 로고
    • Minimal resolutions of some monomial ideals
    • Eliahou S., Kervaire M. Minimal resolutions of some monomial ideals. J. Algebra. 129:1990;1-25.
    • (1990) J. Algebra , vol.129 , pp. 1-25
    • Eliahou, S.1    Kervaire, M.2
  • 15
    • 51249177226 scopus 로고
    • Families of finite sets with minimal shadows
    • Furedi Z., Griggs J. R. Families of finite sets with minimal shadows. Combinatorica. 6:1986;355-363.
    • (1986) Combinatorica , vol.6 , pp. 355-363
    • Furedi, Z.1    Griggs, J.R.2
  • 17
    • 0002302212 scopus 로고
    • Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
    • Gotzmann G. Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes. Math. Z. 158:1978;61-70.
    • (1978) Math. Z. , vol.158 , pp. 61-70
    • Gotzmann, G.1
  • 18
    • 0002536398 scopus 로고
    • Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann
    • Springer-Verlag
    • Green M. Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann. Algebraic Curves and Projective Geometry. Lecture Notes in Math. 1389:1988;Springer-Verlag. p. 76-86.
    • (1988) Algebraic Curves and Projective Geometry Lecture Notes in Math. , vol.1389 , pp. 76-86
    • Green, M.1
  • 19
    • 0001912932 scopus 로고
    • Proof techniques in the theory of finite sets
    • G.-C. Rota. Washington: Mathematifcal Association of America
    • Greene C., Kleitman D. Proof techniques in the theory of finite sets. Rota G.-C. Studies in Combinatorics. 1978;22-79 Mathematifcal Association of America, Washington.
    • (1978) Studies in Combinatorics , pp. 22-79
    • Greene, C.1    Kleitman, D.2
  • 20
    • 0010993080 scopus 로고    scopus 로고
    • Upper bounds for the number of facets of a simplicial complex
    • J. Herzog, T. Hibi, Upper bounds for the number of facets of a simplicial complex, Proc. Amer. Math. Soc.
    • Proc. Amer. Math. Soc.
    • Herzog, J.1    Hibi, T.2
  • 22
    • 0000680834 scopus 로고
    • Cohen-Macaulay rings, combinatorics, and simplicial complexes
    • B.R. McDonald, & R. Morris. New York: Dekker
    • Hochster M. Cohen-Macaulay rings, combinatorics, and simplicial complexes. McDonald B. R., Morris R. Ring Theory II. Lecture Notes in Pure Appl. Math. 26:1977;171-223 Dekker, New York.
    • (1977) Ring Theory II. Lecture Notes in Pure Appl. Math. , vol.26 , pp. 171-223
    • Hochster, M.1
  • 23
    • 84946980409 scopus 로고
    • Maximum Betti numbers for a given Hilbert function
    • Hulett H. A. Maximum Betti numbers for a given Hilbert function. Comm. Algebra. 21:1993;2335-2350.
    • (1993) Comm. Algebra , vol.21 , pp. 2335-2350
    • Hulett, H.A.1
  • 25
    • 0002545677 scopus 로고
    • A theorem for finite sets
    • P. Erdös, & G. Katona. New York: Academic Press
    • Katona G. A theorem for finite sets. Erdös P., Katona G. Theory of Graphs. 1968;187-207 Academic Press, New York.
    • (1968) Theory of Graphs , pp. 187-207
    • Katona, G.1
  • 26
    • 38249016287 scopus 로고    scopus 로고
    • Some wonderful rings in algebraic geometry
    • G. Kempf, Some wonderful rings in algebraic geometry, J. Algebra, 134, 222, 224.
    • J. Algebra , vol.134 , pp. 222
    • Kempf, G.1
  • 27
    • 85190779507 scopus 로고
    • The number of simplices in a complex
    • R. Bellman. Berkeley/Los Angeles: Univ. California Press
    • Kruskal J. The number of simplices in a complex. Bellman R. Mathematical Optimization Techniques. 1963;251-278 Univ. California Press, Berkeley/Los Angeles.
    • (1963) Mathematical Optimization Techniques , pp. 251-278
    • Kruskal, J.1
  • 28
    • 84960614673 scopus 로고
    • Some properties of enumeration in the theory of modular systems
    • Macaulay F. S. Some properties of enumeration in the theory of modular systems. Proc. London Math. Soc. 26:1927;531-555.
    • (1927) Proc. London Math. Soc. , vol.26 , pp. 531-555
    • Macaulay, F.S.1
  • 29
    • 0000520304 scopus 로고
    • New constructive methods in classical ideal theory
    • Möller H. M., Mora F. New constructive methods in classical ideal theory. J. Algebra. 100:1980;138-178.
    • (1980) J. Algebra , vol.100 , pp. 138-178
    • Möller, H.M.1    Mora, F.2
  • 32
    • 0010993081 scopus 로고
    • Albèbres d'Eilenberg-Maclane Exposés 2 a 11
    • Secrétariat Math. Paris
    • H. Cartan, 1956, Albèbres d'Eilenberg-Maclane Exposés 2 a 11, Sém. H. Cartan, Ec. Norm. Sup. (1954-1955), Secrétariat Math. Paris.
    • (1956) Sém. H. Cartan, Ec. Norm. Sup. (1954-1955)
    • Cartan, H.1


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