Chiang Mai Journal of Science

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 Let (R, m) be a commutative Notherian local ring and M a finitely generated R-module with dim M = d. It is shown that M is a sequentially generalized Cohen-Macaulay module if and only if the local cohomology modules H_m^j(M) are either of finite length or generalized co-Cohen-Macaulay of Noetherian dimension j for all 0 < j < d-1.

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