4 papers
Remarks on modules approximated by G-projective modules
Ryo Takahashi
Let be a commutative Noetherian Henselian local ring. Denote by the category of finitely generated -modules, and by the full subcategory of $…
Jarlskog's Parametrization of Unitary Matrices and Qudit Theory
Kazuyuki Fujii, Kunio Funahashi, Takayuki Kobayashi
In the paper (math-ph/0504049) Jarlskog gave an interesting simple parametrization to unitary matrices, which was essentially the canonical coordinate of the second kind in the Lie…
The existence of finitely generated modules of finite Gorenstein injective dimension
Ryo Takahashi
In this note, we study commutative Noetherian local rings having finitely generated modules of finite Gorenstein injective dimension. In particular, we consider whether such rings…
The singular Riemann-Roch theorem and Hilbert-Kunz functions
Kazuhiko Kurano
In the paper, by the singular Riemann-Roch theorem, it is proved that the class of the e-th Frobenius power can be described using the class of the canonical module for a normal lo…