Complete intersection dimensions for complexes
Copyright policy )Complete intersection dimensions for complexes
We extend the notions of complete intersection dimension and lower complete intersection dimension to the category of complexes with finite homology and verify basic properties analogous to those holding for modules. We also discuss the question of the behavior of complete intersection dimension with respect to short exact sequences.
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- University of Illinois at Urbana–Champaign United States
- Illinois State University United States
- University of Illinois United States
Algebra and Number Theory, Homological dimension and commutative rings, Complexes, FOS: Mathematics, 13C40, 13D05, 13D25, 13D40, 14H10, Families, moduli of curves (algebraic), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Linkage, complete intersections and determinantal ideals, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
Algebra and Number Theory, Homological dimension and commutative rings, Complexes, FOS: Mathematics, 13C40, 13D05, 13D25, 13D40, 14H10, Families, moduli of curves (algebraic), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Linkage, complete intersections and determinantal ideals, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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