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The structure of preenvelopes with respect to maximal Cohen-Macaulay modules

2015/04/30 by Hiroki Matsui, Matsui, Hiroki
Mathematics · #13C14 #13C60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #math.AC #math.RT #msc:13C14 #msc:13C60

paper · pdf · doi:10.48550/arxiv.1504.08176

12 pages

arxiv created 2015/04/30 · openalex publication_date 2015/04/30 · arxiv updated 2015/05/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper studies the structure of special preenvelopes and envelopes with respect to maximal Cohen-Macaulay modules. We investigate the structure of them in terms of their kernels and cokernels. Moreover, using this result, we also study the structure of special proper coresolutions with respect to maximal Cohen-Macaulay modules over a Henselian Cohen-Macaulay local ring.

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