𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quasi Cohen–Macaulay Properties of Local Homomorphisms

✍ Scribed by Anders Frankild

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
181 KB
Volume
235
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

For a large class of local homomorphisms : R ª S, including those of finite w Ž . G-dimension studied by Avramov and Foxby Proc. London Math. Soc. 75 1997 , x 241᎐270 , we assign a new numerical invariant called the quasi Cohen᎐Macaulay defect of , and a local homomorphism is called quasi Cohen᎐Macaulay if it is of finite G-dimension and has trivial quasi Cohen᎐Macaulay defect. We show among other things the following: ASCENT-DESCENT THEOREM. Let : R ª S be a local homomorphism. Ž .

📜 SIMILAR VOLUMES

Cohen–Macaulay Properties of Ring Homomo
Cohen–Macaulay Properties of Ring Homomorphisms
✍ Luchezar L. Avramov; Hans-Bjørn Foxby 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 454 KB

Numerical invariants which measure the Cohen Macaulay character of homomorphisms .: R Ä S of noetherian rings are introduced and studied. Comprehensive results are obtained for homomorphisms which are locally of finite flat dimension. They provide a point of view from which a variety of phenomena re

Local Rings of Finite Cohen–Macaulay Typ
Local Rings of Finite Cohen–Macaulay Type
✍ Roger Wiegand 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Let R, m be a local Cohen᎐Macaulay ring whose m-adic completion R has an isolated singularity. We verify the following conjecture of F.-O. Schreyer: R has finite Cohen᎐Macaulay type if and only if R has finite Cohen᎐Macaulay type. We ww xx Ž . also show that the hypersurface k x , . . . , x r f has

On the Cohen–Macaulay Property of Modula
On the Cohen–Macaulay Property of Modular Invariant Rings
✍ Gregor Kemper 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 203 KB

If V is a faithful module for a finite group G over a field of characteristic p, then the ring of invariants need not be Cohen᎐Macaulay if p divides the order of G. In this article the cohomology of G is used to study the question of Cohen᎐Macaulayness of the invariant ring. One of the results is a