Bounds for regularity and coregularity of graded modules |
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| Authors: | Reza Sazeedeh |
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| Affiliation: | (1) Department of Mathematics, Urmia University, Urmia, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran |
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| Abstract: | ![]()
Let M be a finitely generated graded module over a Noetherian homogeneous ring R with local base ring (R 0, m0). If R 0 is of dimension one, then we show that reg i+1(M) and coreg i+1(M) are bounded for all i ∈ ℕ0. We improve these bounds, if in addition, R 0 is either regular or analytically irreducible of unequal characteristic. |
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| Keywords: | Graded local cohomology modules regularity coregularity |
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