中文

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。

关键词

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