Existence of almost Cohen-Macaulay algebras implies the existence of big\n Cohen-Macaulay algebras

2016/01/13 by Rajsekhar Bhattacharyya, Bhattacharyya, Rajsekhar
Mathematics · Medicine · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Intracranial Aneurysms: Treatment and Complications

paper · pdf · doi:10.48550/arxiv.1601.03335

openalex publication_date 2016/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In citeAB, the dagger closure is extended over finitely generated modules\nover Noetherian local domain (R, fm) and it is proved to be a Dietz closure.\nIn this short note we show that it also satisfies the `Algebra axiom' of\n citeR.G and this leads to the following result of this paper: For a complete\nNoetherian local domain, if it is contained in an almost Cohen-Macaulay domain,\nthen there exists a balanced big Cohen-Macaulay algebra over it.\n

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