Kunz Regularity Criterion via algebraic entropy

Details Kunz Regularity Criterion via algebraic entropy Kunz Regularity Criterion via algebraic entropy

2011-10-15

arxiv.org/abs/1110.3427v1

Mathematics

Commutative Algebra

9 pages

Scientific paper

In arXiv:1109.6438v1 [math.AG] we introduced and studied a notion of algebraic entropy. In this paper we will give an application of algebraic entropy in proving Kunz Regularity Criterion for all contracting self-maps of finite length of Noetherian local rings in arbitrary characteristic. Some conditions of Kunz Criterion have already been extended to the general case by Avramov, Iyengar and Miller in arXiv:math/0312412v2 [math.AC], using different methods.

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