Finite support of tensor products

2019/02/27 by Mohsen Asgharzadeh, Asgharzadeh, Mohsen · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1902.10509

openalex publication_date 2019/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the submodule of finite support of the tensor product of two modules M and N over a local ring and estimate its length in terms of M and N. Also, we compute higher local cohomology modules of tensor products in a serial of nontrivial cases. As applications, we compute the depth of tensor powers and present some freeness criteria.

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