arXiv Open Access 2011

Kunz Regularity Criterion via algebraic entropy

Mahdi Majidi-Zolbanin Nikita Miasnikov Lucien Szpiro

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Abstrak

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.

Topik & Kata Kunci

math.AC math.AG math.DS

Penulis (3)

Mahdi Majidi-Zolbanin

Nikita Miasnikov

Lucien Szpiro

Format Sitasi

APA MLA BibTeX

Majidi-Zolbanin, M., Miasnikov, N., Szpiro, L. (2011). Kunz Regularity Criterion via algebraic entropy. https://arxiv.org/abs/1110.3427

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓