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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 8426
   School of Mathematics
  Title: Bounds for regularity and coregularity of graded modules
  Author(s): R. Sazeedeh
  Status: Published
  Journal: Proc. Indian Acad. Sci. Acad. Math. Sci.
  Vol.: 117
  Year: 2007
  Pages: 429-441
  Supported by: IPM
  Abstract:
Let M be a finitely generated graded module over a Noetherian homogeneous ring R with local base ring (R0, \frak m0). If R0 is of dimension one, then we show that regi+l(M) and coregi+l(M) are bounded for all i ∈ \mathbbN0. We improve these bounds, if in addition, R0 is either regular or analytically irreducible of unequal characteristic.

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