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4 papers · 2 filters
Syzygies of Cohen-Macaulay modules over one dimensional Cohen-Macaulay local rings
Toshinori Kobayashi
We study syzygies of (maximal) Cohen-Macaulay modules over one dimensional Cohen-Macaulay local rings. We compare these modules to Cohen-Macaulay modules over the endomorphism ring…
Pseudo-Frobenius numbers versus defining ideals in numerical semigroup rings
Shiro Goto, Do Van Kien, Naoyuki Matsuoka +1
The structure of the defining ideal of the semigroup ring of a numerical semigroup over a field is described, when the pseudo-Frobenius numbers of are multiples…
On the almost Gorenstein property of determinantal rings
Naoki Taniguchi
In this paper we investigate the question of when the determinantal ring over a field is an almost Gorenstein local/graded ring in the sense of Goto, Takahashi, and the aut…
Invariants of Cohen-Macaulay rings associated to their canonical ideals
Laura Ghezzi, Shiro Goto, Jooyoun Hong +1
The purpose of this paper is to introduce new invariants of Cohen-Macaulay local rings. Our focus is the class of Cohen-Macaulay local rings that admit a canonical ideal. Attached…