Ubiquity of relative regular sequences and proper sequences |
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| Authors: | Mihai Cipu and Mario Fiorentini |
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| Institution: | (1) Istitute of Mathematics of the Romanian Academy, PO Box 1-764, RO-70700 Bucharest, Romania;(2) Dipartimento Matematico, Università Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy |
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| Abstract: | A relative regular sequencea
1, ...,a
r
, with respect to the idealI=(a
1, ...,a
r
) has the property thatI annihilates the Koszul homology associated to each initial subsequence. This note analyzes the concepts of relative regular and proper sequences, two notions situated in a strategic position for studying the arithmetical properties of Blow-up Algebras in the largest context of generalized Cohen-Macaulay rings. |
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| Keywords: | Regular relative sequence proper sequence approximation complexes syzygetic ideal sequence of linear type Blow-up Algebras generalized Cohen-Macaulay rings |
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