On Segre Products, F-regularity, and Finite Frobenius Representation Type

被引：0
|
作者：
Singh, Anurag K. [1 ]
Watanabe, Kei-ichi [2 ,3 ]
机构：
[1] Univ Utah, Dept Math, 155 South 1400 East, Salt Lake City, UT 84112 USA
[2] Nihon Univ, Coll Humanities & Sci, Dept Math, Setagaya ku, Tokyo 1568550, Japan
[3] Meiji Univ, Org Strateg Coordinat Res & Intellectual Propertie, Higashimita 1-1-1, Tama-ku, Kawasaki 2148571, Japan
来源：
ACTA MATHEMATICA VIETNAMICA | 2024年 / 49卷 / 01期
关键词：
Noetherian rings; Segre products; Frobenius endomorphism; RATIONAL-SINGULARITIES; RINGS; MODULES;
D O I：
10.1007/s40306-023-00506-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the behavior of various properties of commutative Noetherian rings under Segre products, with a special focus on properties in positive prime characteristic defined using the Frobenius endomorphism. Specifically, we construct normal graded rings of finite Frobenius representation type that are not Cohen-Macaulay.
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页码：129 / 138
页数：10
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