✦ LIBER ✦

Non-commutative Regular Rings

✍ Scribed by Wolfgang Rump

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 185 KB
Volume: 243
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8875

No coin nor oath required. For personal study only.

✦ Synopsis

If R is commutative and local, this concept reduces to the classical notion w x of regularity. In contrast to Walker's definition 21 , our concept is invariant under permutation of P P, and it implies that the P are pairwise i

📜 SIMILAR VOLUMES

Non-commutative Cohen–Macaulay Rings

✍ Wolfgang Rump 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 214 KB

## dedicated to professor klaus w. roggenkamp on the occasion of his 60th birthday We introduce a concept of Cohen-Macaulayness for left noetherian semilocal rings (and their modules) which generalizes the corresponding notion of commutative algebra and naturally applies to orders.

Hasse Zeta Functions of Non-commutative

Hasse Zeta Functions of Non-commutative Rings

✍ Takako Fukaya 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 374 KB

Homological Dimensions over Non-commutat

Homological Dimensions over Non-commutative Semi-local Rings

✍ J.Z. Xu; F.C. Cheng 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 248 KB

An associative ring \(R\) is called semi-local if \(R / J\) is artinian semisimple, where \(J\) is the radical of \(R\). In this paper, we discuss homological dimensions over non-commutative semi-local rings. The results obtained here will generalize the corresponding ones over commutative semi-loca

Finite Commutative Chain Rings

✍ Xiang-dong Hou 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 323 KB

Existence Theorems for Dualizing Complex

Existence Theorems for Dualizing Complexes over Non-commutative Graded and Filtered Rings

✍ Michel van den Bergh 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 234 KB

In this note we prove existence theorems for dualizing complexes over graded and filtered rings, thereby generalizing some results by Zhang, Yekutieli, and Jørgensen.

Integral Non-commutative Spaces

✍ S. Paul Smith 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 163 KB

A non-commutative space X is a Grothendieck category Mod X. We say X is integral if there is an indecomposable injective X-module X such that its endomorphism ring is a division ring and every X-module is a subquotient of a direct sum of copies of X . A noetherian scheme is integral in this sense if