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On Segre Products, $F$-regularity, and Finite Frobenius Representation Type
Anurag K. Singh
,
Kei-ichi Watanabe
Abstract
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.