Ann-范畴的上同调分类
范畴论
2013-03-20 v2
摘要
Ann-范畴的概念是环结构的范畴化。正则Ann-范畴已由Shukla代数上同调进行了分类。在本文中,我们陈述并证明了一般情况下的精确分类定理,该分类源于环的Mac Lane上同调。此外,还介绍了该分类在环扩张分类问题上的应用。
引用
@article{arxiv.1105.5187,
title = {Cohomological Classification of Ann-categories},
author = {Nguyen Tien Quang},
journal= {arXiv preprint arXiv:1105.5187},
year = {2013}
}
备注
Comment: 22 pages, this paper covers the paper "Structure of Ann-categories" (arXiv:0805.1505v4 [math.CT] 20 Apr 2009) Comment: Added appendix, removed section 4 Comment: To appear in Mathematical Communications