A generalization of Kronecker function rings and Nagata rings
Marco Fontana, K. Alan Loper
Abstract
Despite the obvious similarities in definitions and properties, the Nagata ring and the Kronecker function ring have been classically treated independently, when the coefficients are not in a Prüfer domain. The purpose of this paper is to study two different unified approaches to the Nagata rings and the Kronecker function rings, which yield these rings and their classical generalizations as special cases.
Create a lesson
Related papers
On the weak Lefschetz property of Artinian Gorenstein algebras of codimension three in arbitrary characteristic
Omkar Javadekar
Linear Independence of Polynomial Compositions and Identifiability of Deep Neural Networks
Kathlén Kohn, Giovanni Luca Marchetti, Alex Massarenti et al.
Comparing v-numbers of symbolic and ordinary powers of squarefree monomial ideals
Trung Chau, Tài Huy Hà, A. V. Jayanthan et al.
Polynomial extensions do not preserve the strong finite type property
Viet-Hoang Tran, Phan Thanh Toan, Thieu N. Vo et al.
Reduction numbers for witnesses to the generalized Loewy length
Richard Bartels, Sarah Dajani, Gabriel Koomson
Multi-graded generic initial ideals, regularity, and the optimal colorful fractional Helly theorem for d-Leray complexes
Daniel McGinnis