Regular sequences and ZD-modules

2013/05/01 by Sh. Payrovi, Payrovi, Sh., M. Lotfi Parsa +1 · 1 citation
Computer Science · Mathematics · #13C15(Primary) #13D45(Secondary) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras #math.AC

paper · pdf · doi:10.48550/arxiv.1305.0164

This paper has been withdrawn by the author due to a crucial errors in the paper

openalex publication_date 2013/05/01 · arxiv created 2016/03/06 · arxiv updated 2016/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a Noetherian ring, I an ideal of R and M a ZD-module. Let S be a Melkersson subcategory with respect to I such that M/IM doesn't belong to S. We show that all maximal S-sequences on M in I, have equal length. If this common length is denoted by S-depth_I(M), then S-depth_I(M) = infi : Hⁱ_I(M) doesn't belong to S.

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