6 citations · 33 across the 20 of their papers we have counts for
4 papers · 2 filters
Ulrich modules over Cohen-Macaulay local rings with minimal multiplicity
Toshinori Kobayashi, Ryo Takahashi
Let R be a Cohen-Macaulay local ring. In this paper we study the structure of Ulrich -modules mainly in the case where R has minimal multiplicity. We explore generation of Ulric…
Syzygies of Cohen-Macaulay modules over one dimensional Cohen-Macaulay local rings
Toshinori Kobayashi
We study syzygies of (maximal) Cohen-Macaulay modules over one dimensional Cohen-Macaulay local rings. We compare these modules to Cohen-Macaulay modules over the endomorphism ring…
On delta invariants and indices of ideals
Toshinori Kobayashi
Let R be a Cohen-Macaulay local ring with a canonical module. We consider Auslander's (higher) delta invariants of powers of certain ideals of R. Firstly, we shall provide some con…
On a question of Buchweitz about ranks of syzygies of modules of finite length
Toshinori Kobayashi
Let R be a local ring of dimension d. Buchweitz asks if the rank of the d-th syzygy of a module of finite lengh is greater than or equal to the rank of the d-th syzygy of the resid…