6 citations · 33 across the 20 of their papers we have counts for
4 papers · 1 filter
Some characterizations of local rings via reducing dimensions
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi +1
In this paper we study homological dimensions of finitely generated modules over commutative Noetherian local rings, called reducing homological dimensions. We obtain new character…
On the reducing projective dimension of the residue field
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi +1
In this paper we are concerned with certain invariants of modules, called reducing invariants, which have been recently introduced and studied by Araya-Celikbas and Araya-Takahashi…
The set of trace ideals of curve singularities
Toshinori Kobayashi, Shinya Kumashiro
This paper mainly focuses on commutative local domains of dimension one. We then obtain a criterion for a ring to have a finite number of trace ideals in terms of integrally closed…
Vanishing of (co)homology of Burch and related submodules
Souvik Dey, Toshinori Kobayashi
We introduce the notion of Burch submodules and weakly -full submodules of modules over local rings and study their properties. One of our main results shows that Burc…