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Existence and constructions of totally reflexive modules. (English) Zbl 1498.13002

Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 751-771 (2021).
Summary: We give an overview of several results concerning existence and constructions of totally reflexive modules.
For the entire collection see [Zbl 1480.13001].

MSC:

13A02 Graded rings
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13D02 Syzygies, resolutions, complexes and commutative rings
18G20 Homological dimension (category-theoretic aspects)
13-02 Research exposition (monographs, survey articles) pertaining to commutative algebra
18-02 Research exposition (monographs, survey articles) pertaining to category theory
Full Text: DOI

References:

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