Article ID Journal Published Year Pages File Type
8896090 Journal of Algebra 2018 9 Pages PDF
Abstract
Let R be a standard graded algebra over an infinite field K and M a finitely generated Z-graded R-module. For any graded ideal I⊆R+ of R, we show that the functions D(InM),r(InM) and r(M/InM) are all asymptotically linear. Here r(
- ) and D(
- ) stand for the reduction number and the maximal degree of minimal generators of a graded module
- respectively.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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