𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Flatness and localization over monoids

✍ Scribed by Bo Stenström

Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
983 KB
Volume
48
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Monoids and direct-sum decompositions ov
Monoids and direct-sum decompositions over local rings
✍ K. Kattchee 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Let R be a local ring order, i.e. a one-dimensional local (noetherian) ring whose completion R is reduced, and let M be a finitely generated R-module. We consider two monoids: +(M), which consists of the isomorphism classes of R-modules which arise as direct summands of direct sums of finitely many

Flatness and Fibred Powers over Smooth V
Flatness and Fibred Powers over Smooth Varieties
✍ André Galligo; Michal Kwieciński 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 118 KB

We prove the equivalence between flatness of a complex algebraic map to a smooth variety of dimension n and torsion freeness of its nth fibered power, under the assumption that the source space is of pure dimension. This generalizes the corresponding result for finite maps due to Auslander and prove

Ramification of a finite flat group sche
Ramification of a finite flat group scheme over a local field
✍ Shin Hattori 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 132 KB

In this paper, we analyze ramification in the sense of Abbes-Saito of a finite flat group scheme over the ring of integers of a complete discrete valuation field of mixed characteristic (0, p). We deduce that its Galois representation depends only on its reduction modulo explicitly computed p-power.