11 citations · 32 across the 32 of their papers we have counts for
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The reduction number of canonical ideals
Shinya Kumashiro
In this paper, we introduce an invariant of Cohen-Macaulay local rings in terms of the reduction number of canonical ideals. The invariant can be defined in arbitrary Cohen-Macaula…
Certain monomial ideals whose numbers of generators of powers descend
Reza Abdolmaleki, Shinya Kumashiro
This paper studies the numbers of minimal generators of powers of monomial ideals in polynomial rings. For a monomial ideal in two variables, Eliahou, Herzog, and Saem gave a s…
Reducibility index and sum-reducibility index
Tran Nguyen An, Tran Duc Dung, Shinya Kumashiro +1
Let be a Noetherian ring. For a finitely generated -module , Northcott introduced the reducibility index of , which is the number of submodules appearing in an irredun…
Graded Bourbaki ideals of graded modules
Jürgen Herzog, Shinya Kumashiro, Dumitru I. Stamate
In this paper we study graded Bourbaki ideals. It is a well-known fact that for torsionfree modules over Noetherian normal domains, Bourbaki sequences exist. We give criteria in te…