Trivial Extensions Defined by Coherent-like Conditions
交换代数
2007-05-23 v1 环与代数
摘要
This paper investigates coherent-like conditions and related properties that a trivial extension might inherit from the ground ring over some classes of modules. It captures previous results dealing primarily with coherence, and also establishes satisfactory analogues of well-known coherence-like results on pullback constructions. Our results generate new families of examples of rings (with zerodivisors) subject to a given coherent-like condition.
引用
@article{arxiv.math/0606696,
title = {Trivial Extensions Defined by Coherent-like Conditions},
author = {S. Kabbaj and N. Mahdou},
journal= {arXiv preprint arXiv:math/0606696},
year = {2007}
}
备注
18 pages