1 citations · 1 across the 6 of their papers we have counts for
6 papers
The structure of almost symmetric almost complete intersection numerical semigroups
Kazufumi Eto, Naoyuki Matsuoka, Alessio Moscariello +3
We prove a structure theorem for numerical semigroups H that are almost symmetric and almost complete intersections. Specifically, we show that a row-factorization (RF) matrix of H…
Almost Gorenstein simplicial semigroup rings
Kazufumi Eto, Naoyuki Matsuoka, Takahiro Numata +1
We give a criterion for almost Gorenstein property for semigroup rings associated with simplicial semigroups. We extend Nari's theorem for almost symmetric numerical semigroups to…
Some ring-theoretic properties of rings via Frobenius and monoidal maps
Kazufumi Eto, Jun Horiuchi, Kazuma Shimomoto
The purpose of this note is to relate certain ring-theoretic properties of rings in mixed and positive characteristics that are related to each other by a tilting operation used in…
Inverse polynomials of numerical semigroup rings
Kazufumi Eto, Kei-ichi Watanabe
Let H = <n_1,...,n_e> be a numerical semigroup generated by e elements. Let k[H]= k[x_1, .... , x_e]/I_H = S/I_H be the semigroup ring of H over k. We define inverse polynomial J_{…
An obstruction to embedding -dimensional complexes into the -sphere
Kazufumi Eto, Shosaku Matsuzaki, Makoto Ozawa
We consider an embedding of a -dimensional CW complex into the -sphere, and construct it's dual graph. Then we obtain a homogeneous system of linear equations from the -di…
Notes on Hilbert-Kunz multiplicity of Rees algebras
Kazufumi Eto, Ken-ichi Yoshida
In this paper, we estimate the Hilbert-Kunz multiplicity of the (extended) Rees algebras in terms of some invariants of the base ring. Also, we give an explicit formula for the Hil…