36 citations · 68 across the 25 of their papers we have counts for
26 papers
Indecomposability of graded modules over a graded ring
Mitsuyasu Hashimoto, Yuntian Yang
Let be a Noetherian commutative non-negatively graded ring such that is a Henselian local ring. Let be its unique g…
Hochster-Eagon type theorem for Serre's condition
Mitsuyasu Hashimoto
Let be a pure homomorphism between Noetherian commutative rings. If is an Artinian ring, then we have …
Generalized -signatures of the rings of invariants of finite group schemes
Mitsuyasu Hashimoto, Fumiya Kobayashi
Let be a perfect field of prime characteristic , a finite group scheme over , and a finite-dimensional -module. Let be the symmetric…
Higher-dimensional absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras
Mitsuyasu Hashimoto
In this paper, we define and discuss higher-dimensional and absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras. In particular, we compare these with the relati…
F-rationality of the ring of modular invariants
Mitsuyasu Hashimoto
Using the description of the Frobenius limit of modules over the ring of invariants under an action of a finite group on a polynomial ring over a field of characteristic deve…
The asymptotic behavior of Frobenius direct images of rings of invariants
Mitsuyasu Hashimoto, Peter Symonds
We define the Frobenius limit of a module over a ring of prime characteristic to be the limit of the normalized Frobenius direct images in a certain Grothendieck group. When a fini…