Shinnosuke Kosaka

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math.AC2025

Modules whose minimal free resolutions are self-dual or eventually periodic

Shinnosuke Kosaka

Let $R$ be a commutative noetherian local ring. In this paper, we study the self-duality and eventual periodicity of minimal free resolutions of finitely generated $R$ -modules in t…

math.AC2025

Characterizing Regular Local Rings via Analogues of (*)-properties

Shinnosuke Kosaka

Let $R$ be a commutative noetherian local ring. As analogues of $(*)$ -properties introduced by Ghosh, Gupta, and Puthenpurakal, we introduce and study $(A)$ -properties, $(…

math.AC2025

Criteria for finite injective dimension of modules over a local ring

Shinnosuke Kosaka, Yuki Mifune, Kenta Shimizu

Let $R$ be a commutative Noetherian local ring. We prove that the finiteness of the injective dimension of a finitely generated $R$ -module $C$ is determined by the existence of a C…