English

Prime subcomplexes

Commutative Algebra 2023-04-04 v1

Abstract

In 1859, Ernst E. Kummer \cite{erns} introduced the concept prime ideal and after that in 1983 this concept was generalized to prime submodules by R. McCasland \cite{mcca}. In this article, by considering complexes as a generalization of modules, I introduce the concept prime subcomplex and study some properties analogous to that of prime submodules.

Cite

@article{arxiv.2304.01021,
  title  = {Prime subcomplexes},
  author = {Ismael Akray},
  journal= {arXiv preprint arXiv:2304.01021},
  year   = {2023}
}
R2 v1 2026-06-28T09:46:46.408Z