Strongly Koszul algebras

Mathematica Scandinavica

Volumn 86, Issue 2, 2000, Pages 161-178

  Herzog, Jürgen ^a   Hibi, Takayuki ^c   Restuccia, Gaetana ^b  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

^b UNIVERSITY OF MESSINA   (Italy)

^c OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034401418     PISSN: 00255521     EISSN: None     Source Type: Journal    
DOI: 10.7146/math.scand.a-14287     Document Type: Article

References (12)

1. J. Backelin, On the rates of growth of the homologies of Veronese subrings, in: Algebra, Algebraic Topology and Their Interactions, J.-E. Roos, Ed., Lecture Notes in Math. 1183 (1986), 79-100.
2. J. Backelin and R. Fröberg, Koszul algebras, Veronese subrings, and rings with linear resolutions, Rev. Roum. Math. Pures Appl. 30 (1985), 549-565.
3. G. Birkhoff, Lattice theory, 3rd. ed., Amer. Math. Soc. Colloq. Publ. No. 25, 1967.
4. W. Bruns, J. Herzog and U. Vetter, Syzygies and Walks, in: ICTP Proceedings Commutative Algebra, A. Simis, N. V. Trung and G. Valla, Eds., World Scientific 1994, 36-57.
5. R. Fröberg, Determination of a Class of Poincaré series, Math. Scand. 37 (1975), 29-39.
6. T. Hibi, Distributive lattices, affine semigroup rings, and algebras with straightening laws, in: Commutative Algebra and Combinatorics, M. Nagata and H. Matsumura, Eds., Adv. Stud. Pure Math. 11, 1987, 93-103.
7. T. Hibi, Algebraic Combinatorics on Convex Polytopes, Carslaw Publications, Glebe, N.S.W., Australia, 1992.
8. O. A. Laudal and A. Sletsjøe, Betti numbers of monoid algebras: Applications to 2-dimensional torus embeddings, Math. Scand. 56 (1985), 145-162.
9. J. Herzog, V. Reiner and V. Welker, The Koszul property in affine semigroup rings, Pac. J. Math. 186 (1998), 39-65.
10. E. De Negri, Toric rings generated by stable sets of monomials, Math. Nachr. 203 (1999), 31-45.
11. I. Peeva, V. Reiner and B. Sturmfels, How to shell a monoid, Math. Ann. 310 (1998), 379-194.
12. B. Sturmfels, Gröbner Bases and Convex Polytopes, Univ. Lecture Ser. 8 (1995).