arXiv Open Access 2001

Conservation of the noetherianity by perfect transcendental field extensions

M. Fernandez-Lebron L. Narvaez-Macarro

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Abstrak

Let $k$ be a perfect field of characteristic $p>0$, $k(t)_{per}$ the perfect closure of $k(t)$ and $A$ a $k$-algebra. We characterize whether the ring $A\otimes_k k(t)_{per}$ is noetherian or not. As a consequence, we prove that the ring $A\otimes_k k(t)_{per}$ is noetherian when $A$ is the ring of formal power series in $n$ indeterminates over $k$.

Topik & Kata Kunci

math.AC

Penulis (2)

M. Fernandez-Lebron

L. Narvaez-Macarro

Format Sitasi

APA MLA BibTeX

Fernandez-Lebron, M., Narvaez-Macarro, L. (2001). Conservation of the noetherianity by perfect transcendental field extensions. https://arxiv.org/abs/math/0103099

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2001
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓