Journal Article10.1081/agb-120004009
Coherence
John Dauns
- 19 Jun 2002
Vol. 30, pp 3063-3075
TL;DR: Sure, here is the TLDR: The theory of coherent rings and modules is generalized to cardinal numbers, where a ring is -coherent if every right ideal with less than -generators has less than -relations.
read more
Abstract: ABSTRACT The theory of coherent rings and modules is generalized to cardinal numbers . A ring R is -coherent if every right ideal with less than -generators has less than -relations.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
References
Absolutely pure modules
Charles Megibben
- 01 Apr 1970
TL;DR: A module A is shown to be absolutely pure if and only if every finite consistent system of linear equations over A has a solution in A and if A is pure in every injective module containing it as a submodule.
n-Coherent Rings
TL;DR: The notion of left n-coherent rings was introduced in this article, where n-flat and n-absolutely pure modules were used to characterize the left ncoherent ring.
53