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Stanley, Richard P.

Cohen-Macaulay rings and constructible polytopes. (English) Zbl 0304.52005

Bull. Am. Math. Soc. 81, 133-135 (1975).
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Cited in 28 Documents

MSC:

52Bxx Polytopes and polyhedra
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
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References:

[1] H. Bruggesser and P. Mani, Shellable decompositions of cells and spheres, Math. Scand. 29 (1971), 197 – 205 (1972). · Zbl 0251.52013 · doi:10.7146/math.scand.a-11045
[2] M. Hochster, Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann. of Math. (2) 96 (1972), 318 – 337. · Zbl 0233.14010 · doi:10.2307/1970791
[3] F. S. Macaulay, Some properties of enumeration in the theory of modular systems, Proc. London Math. Soc. 26 (1927), 531-555. · JFM 53.0104.01
[4] P. McMullen, The maximum numbers of faces of a convex polytope, Mathematika 17 (1970), 179 – 184. · Zbl 0217.46703 · doi:10.1112/S0025579300002850
[5] P. McMullen, The numbers of faces of simplicial polytopes, Israel J. Math. 9 (1971), 559 – 570. · Zbl 0209.53701 · doi:10.1007/BF02771471
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