Zobrazeno 1 - 10
of 313
pro vyhledávání: '"Goto, Shiro"'
Autor:
Endo, Naoki, Goto, Shiro
In the present paper we investigate reflexive modules over the endomorphism algebras of reflexive trace ideals in a one-dimensional Cohen-Macaulay local ring. The main theorem generalizes both of the results of S. Goto, N. Matsuoka, and T. T. Phuong
Externí odkaz:
http://arxiv.org/abs/2301.10401
Autor:
Endo, Naoki, Ghezzi, Laura, Goto, Shiro, Hong, Jooyoun, Iai, Shin-Ichiro, Kobayashi, Toshinori, Matsuoka, Naoyuki, Takahashi, Ryo
Let A be a Noetherian local ring with canonical module K. We characterize A when K is a torsionless, reflexive, or q-torsionfree module. If A is a Cohen-Macaulay ring, H.-B. Foxby proved in 1974 that the A-module K is q-torsionfree if and only if the
Externí odkaz:
http://arxiv.org/abs/2301.02635
Autor:
Goto, Shiro, Kumashiro, Shinya
In this paper, we introduce generalized Gorenstein local (GGL) rings. The notion of GGL rings is a natural generalization of the notion of almost Gorenstein rings, which can thus be treated as part of the theory of GGL rings. For a Cohen-Macaulay loc
Externí odkaz:
http://arxiv.org/abs/2212.12762
The weakly Arf $(S_2)$-ification of a commutative Noetherian ring $R$ is considered to be a birational extension which is good next to the normalization. The weakly Arf property (WAP for short) of $R$ was introduced in 1971 by J. Lipman with his famo
Externí odkaz:
http://arxiv.org/abs/2204.12132
Autor:
Goto, Shiro, Iai, Shin-ichiro
This paper gives a necessary and sufficient condition for Gorensteinness in Rees algebras of the $d$-th power of parameter ideals in certain Noetherian local rings of dimension $d\ge 2$. The main result of this paper produces many Gorenstein Rees alg
Externí odkaz:
http://arxiv.org/abs/2112.06676
Autor:
Endo, Naoki, Goto, Shiro
Let $M$ be a finitely generated module over a ring $\Lambda$. With certain mild assumptions on $\Lambda$, it is proven that $M$ is a reflexive $\Lambda$-module, once $M \cong M^{**}$ as a $\Lambda$-module.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/2112.02258
Let $I ~(\ne A)$ be an ideal of a $d$-dimensional Noetherian local ring $A$ with $\operatorname{ht}_AI \ge 2$, containing a non-zerodivisor. The problem of when the ring $I:I=\operatorname{End}_AI$ is Gorenstein is studied, in connection with the pro
Externí odkaz:
http://arxiv.org/abs/2111.13338
The Ulrich ideals in the semigroup rings $k[[t^5, t^{11}]]$ and $k[[t^5,t^6,t^9]]$ are determined, by describing the normal forms of systems of generators, where $k[[t]]$ denotes the formal power series ring over a field $k$.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2111.01085
Autor:
Endo, Naoki, Goto, Shiro
Ulrich ideals in numerical semigroup rings of small multiplicity are studied. If the semigroups are three-generated but not symmetric, the semigroup rings are Golod, since the Betti numbers of the residue class fields of the semigroup rings form an a
Externí odkaz:
http://arxiv.org/abs/2111.00498
Autor:
Endo, Naoki, Goto, Shiro
Publikováno v:
In Journal of Pure and Applied Algebra August 2024 228(8)
