© Printed in India Bounds for regularity and coregularity of graded modules

Abstract

Abstract. Let M be a finitely generated graded module over a Noetherian homogeneous ring R with local base ring (R0,m0). If R0 is of dimension one, then we show that regi+1(M) and coregi+1(M) are bounded for all i ∈ N0. We improve these bounds, if in addition, R0 is either regular or analytically irreducible of unequal characteristic