English

Kernel-Cokernel Sequence for Composition and its Applications

Rings and Algebras 2020-02-18 v2

Abstract

If this article, an elementary kernel-cokernel exact sequence is introduced for AfBgCA\stackrel{f}\to B\stackrel{g}\to C. Some relative sequences and applications are dicussed. This result can simplify some proofs---the indices of Frodholm operators, Harada and Sai theorem, and the derived couples of exact couples.

Keywords

Cite

@article{arxiv.2001.07528,
  title  = {Kernel-Cokernel Sequence for Composition and its Applications},
  author = {Rui Xiong},
  journal= {arXiv preprint arXiv:2001.07528},
  year   = {2020}
}
R2 v1 2026-06-23T13:16:31.838Z