메뉴 건너뛰기




Volumn 127, Issue 1, 1997, Pages 94-123

Möbius functions of lattices

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031569693     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1997.1616     Document Type: Article
Times cited : (58)

References (26)
  • 2
    • 0000175653 scopus 로고
    • Subspace arrangements
    • Björner A. Subspace arrangements. Prog. Math. 122:1994;321-370.
    • (1994) Prog. Math. , vol.122 , pp. 321-370
    • Björner, A.1
  • 3
    • 84968491648 scopus 로고
    • Linear decision trees, subspace arrangements and Möbius functions
    • Björner A., Lovász L. Linear decision trees, subspace arrangements and Möbius functions. J. Amer. Math. Soc. 7:1994;677-706.
    • (1994) J. Amer. Math. Soc. , vol.7 , pp. 677-706
    • Björner, A.1    Lovász, L.2
  • 6
    • 0001467713 scopus 로고
    • The lattice of integer partitions
    • Brylawski T. The lattice of integer partitions. Discrete Math. 6:1793;201-219.
    • (1793) Discrete Math. , vol.6 , pp. 201-219
    • Brylawski, T.1
  • 7
    • 33646889387 scopus 로고
    • Wonderful models of subspace arrangements
    • De Concini C., Procesi C. Wonderful models of subspace arrangements. Selecta Math. 1:1995;459-494.
    • (1995) Selecta Math. , vol.1 , pp. 459-494
    • De Concini, C.1    Procesi, C.2
  • 8
    • 21344464399 scopus 로고    scopus 로고
    • The higher Stasheff-Tamari posets
    • Edelman P. H., Reiner V. The higher Stasheff-Tamari posets. Mathematika. 43:1996;127-154.
    • (1996) Mathematika , vol.43 , pp. 127-154
    • Edelman, P.H.1    Reiner, V.2
  • 9
    • 0001242152 scopus 로고
    • Problèmes d'associativité: Une treillis finie induite par une loi demi-associative
    • Friedman H., Tamari D. Problèmes d'associativité: Une treillis finie induite par une loi demi-associative. J. Combin. Theory. 2:1967;215-242.
    • (1967) J. Combin. Theory , vol.2 , pp. 215-242
    • Friedman, H.1    Tamari, D.2
  • 10
    • 0011030435 scopus 로고
    • On Tamari lattices
    • Geyer W. On Tamari lattices. Discrete Math. 133:1994;99-122.
    • (1994) Discrete Math. , vol.133 , pp. 99-122
    • Geyer, W.1
  • 11
    • 0004190634 scopus 로고
    • San Francisco: Freeman and Co.
    • Grätzer G. Lattice Theory. 1971;Freeman and Co. San Francisco.
    • (1971) Lattice Theory
    • Grätzer, G.1
  • 12
    • 0011024984 scopus 로고
    • A class of lattices with Möbius function ±1
    • Greene C. A class of lattices with Möbius function ±1. European J. Combin. 9:1988;225-240.
    • (1988) European J. Combin , vol.9 , pp. 225-240
    • Greene, C.1
  • 14
    • 0001848664 scopus 로고
    • Problems of associativity: A simple proof for the lattice property of systems ordered by a semi-associative law
    • Huang S., Tamari D. Problems of associativity: A simple proof for the lattice property of systems ordered by a semi-associative law. J. Combin. Theory Ser. A. 13:1972;7-13.
    • (1972) J. Combin. Theory Ser. A , vol.13 , pp. 7-13
    • Huang, S.1    Tamari, D.2
  • 15
    • 0000513203 scopus 로고
    • Sur les partitions non-croisées d'un cycle
    • Kreweras G. Sur les partitions non-croisées d'un cycle. Discrete Math. 1:1972;333-350.
    • (1972) Discrete Math. , vol.1 , pp. 333-350
    • Kreweras, G.1
  • 17
    • 0011003407 scopus 로고
    • Primes, irreducibles and extremal lattices
    • Markowsky G. Primes, irreducibles and extremal lattices. Order. 9:1992;7-13.
    • (1992) Order , vol.9 , pp. 7-13
    • Markowsky, G.1
  • 18
    • 0000460110 scopus 로고
    • Combinatorics and topology of complements of hyperplanes
    • Orlik P., Solomon L. Combinatorics and topology of complements of hyperplanes. Invent. Math. 56:1980;167-189.
    • (1980) Invent. Math. , vol.56 , pp. 167-189
    • Orlik, P.1    Solomon, L.2
  • 19
    • 85044491374 scopus 로고    scopus 로고
    • Non-crossing partitions for classical reflection groups
    • V. Reiner, Non-crossing partitions for classical reflection groups, Discrete Math.
    • Discrete Math.
    • Reiner, V.1
  • 20
    • 34347166234 scopus 로고
    • On the foundations of combinatorial theory I. Theory of Möbius functions
    • Rota G.-C. On the foundations of combinatorial theory I. Theory of Möbius functions. Z. Wahrscheinlichkeitstheorie. 2:1964;340-368.
    • (1964) Z. Wahrscheinlichkeitstheorie , vol.2 , pp. 340-368
    • Rota, G.-C.1
  • 21
    • 0000906331 scopus 로고
    • A generalisation of Rota's NBC Theorem
    • Sagan B. E. A generalisation of Rota's NBC Theorem. Adv. in Math. 111:1995;195-207.
    • (1995) Adv. in Math. , vol.111 , pp. 195-207
    • Sagan, B.E.1
  • 22
    • 0010965937 scopus 로고    scopus 로고
    • The simplicial complex of all NBB nonspanning subsets of the set of atoms of a prelatticeLL
    • Y. Segev, The simplicial complex of all NBB nonspanning subsets of the set of atoms of a prelatticeLL, European J. Combin.
    • European J. Combin.
    • Segev, Y.1
  • 23
    • 0000343472 scopus 로고
    • Supersolvable lattices
    • Stanley R. P. Supersolvable lattices. Alg. Univ. 2:1972;197-217.
    • (1972) Alg. Univ. , vol.2 , pp. 197-217
    • Stanley, R.P.1
  • 25
    • 6244228084 scopus 로고
    • A logical expansion in mathematics
    • Whitney H. A logical expansion in mathematics. Bull. Amer. Math. Soc. 38:1932;572-579.
    • (1932) Bull. Amer. Math. Soc. , vol.38 , pp. 572-579
    • Whitney, H.1
  • 26
    • 0002932423 scopus 로고
    • The geometry of root systems and signed graphs
    • Zaslavsky T. The geometry of root systems and signed graphs. Amer. Math. Monthly. 88:1981;88-105.
    • (1981) Amer. Math. Monthly , vol.88 , pp. 88-105
    • Zaslavsky, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.