Finiteness in flat modules and algebras
Samuel H. Cox,David E. Rush +1 more
11
TL;DR: In this paper, it was shown that if p Z 9 are prime ideals of a ring, then rk&p 3 rk,(q) for any flat d-module 11% where r&p denotes the dimension of M 8s k(p) as a vector space over k (p) = A,/pA,.
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About: This article is published in Journal of Algebra. The article was published on 01 Oct 1974. and is currently open access. The article focuses on the topics: Ideal (ring theory) & Epimorphism.
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Citations
•Posted Content
On finite type epimorphisms of rings
TL;DR: In this article, the structure of finite type epimorphisms of rings was studied and the authors showed that the structure can be characterized by a finite number of finite types of rings.
2
References
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Éléments de géométrie algébrique
Alexandre Grothendieck,Jean Dieudonné +1 more
- 01 Jan 1960
TL;DR: In this paper, the authors present conditions générales d'utilisation (http://www.numdam.org/conditions), i.e., Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
5.3K
Finitistic dimension and a homological generalization of semi-primary rings
TL;DR: In this article, Kaplansky showed that a commutative ring R is left T-nilpotent if, given any sequence {at} of elements in N, there exists an re such that ai • • • an = 0.