Bounds for regularity and coregularity of graded modules |
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| Authors: | Reza Sazeedeh |
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| Institution: | (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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