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On the Cohen-Macaulay
property in commutative algebra and simplicial topology
Dean Ellis Smith |
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Vol. 141 (1990), No. 1, 165–196
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Abstract |
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A ring R is called a “ring of sections” provided R is the section ring of a sheaf (𝒜,X) of commutative rings defined over a base space X which is a finite partially ordered set given the order topology. Regard X as a finite abstract complex, where a chain in X corresponds to a simplex. In specific instances of (𝒜,X), certain algebraic invariants of R are equivalent to certain topological invariants of X. |
Mathematical Subject Classification 2000
Primary: 52B20
Secondary: 05E25, 13H10, 57Q99
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Milestones
Received: 30 December 1987
Revised: 8 February 1989
Published: 1 January 1990
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Authors |
| Dean Ellis Smith | |
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