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Volumn 12, Issue 3, 2000, Pages 207-222

Shifting Operations and Graded Betti Numbers

Author keywords

Algebraic shifting; Extremal Betti numbers; Generic initial ideals; Shifted complexes

Indexed keywords


EID: 0011534311     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011238406374     Document Type: Article
Times cited : (49)

References (17)
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  • 3
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  • 4
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    • Ideals with stable Betti numbers
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  • 5
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    • Gotzmann theorems for exterior algebras combinatorics
    • A. Aramova, J. Herzog, and T. Hibi, "Gotzmann theorems for exterior algebras combinatorics," J. Alg. 191 (1997), 174-211.
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    • Aramova, A.1    Herzog, J.2    Hibi, T.3
  • 6
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    • Extremal Betti numbers and Applications to Monomial Ideals
    • D. Bayer, H. Charalambous, and S. Popescu, "Extremal Betti numbers and Applications to Monomial Ideals," J. Alg. 221 (1999), 497-512.
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  • 8
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    • (1988) Acta Math. , vol.161 , pp. 279-303
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  • 10
    • 0002557565 scopus 로고
    • Minimal resolutions of some monomial ideals
    • S. Eliahou and M. Kervaire, "Minimal resolutions of some monomial ideals," J. Alg. 129 (1990), 1-25.
    • (1990) J. Alg. , vol.129 , pp. 1-25
    • Eliahou, S.1    Kervaire, M.2
  • 11
    • 0000416662 scopus 로고    scopus 로고
    • Generic initial ideals
    • Barcelona, Spain, Birkhäuser
    • M. Green, "Generic initial ideals," in Proc. CRM-96, Six Lectures on Commutative Algebra, Barcelona, Spain, Vol. 166, pp. 119-186, Birkhäuser, 1998.
    • (1998) Proc. CRM-96, Six Lectures on Commutative Algebra , vol.166 , pp. 119-186
    • Green, M.1
  • 13
    • 85003542820 scopus 로고    scopus 로고
    • Stable properties of algebraic shifting
    • J. Herzog and N. Terai, "Stable properties of algebraic shifting," Results Math. 35 (1999), 260-265.
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    • Herzog, J.1    Terai, N.2
  • 14
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    • Cohen-Macaulay rings, combinatorics, and simplicial complexes
    • Proc. Ring Theory II, Deeker, New York
    • M. Hochster, "Cohen-Macaulay rings, combinatorics, and simplicial complexes," in Proc. Ring Theory II, Lect. Notes in Pure and Appl Math., Vol. 26, pp. 171-223, Deeker, New York, 1977.
    • (1977) Lect. Notes in Pure and Appl Math. , vol.26 , pp. 171-223
    • Hochster, M.1
  • 16
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    • The diameter of graphs of convex polytopes and f-vector theory
    • Proc. Applied Geometry and Discrete Mathematics, Amer. Math. Soc.
    • G. Kalai, "The diameter of graphs of convex polytopes and f-vector theory," in Proc. Applied Geometry and Discrete Mathematics, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 4, pp. 387-411, Amer. Math. Soc., 1991.
    • (1991) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.4 , pp. 387-411
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.