English

Complemented elements in commutative rings

Rings and Algebras 2026-05-27 v1

Abstract

In what follows we generalize the notion of a complemented ring to rings that are not necessarily reduced. We then determine how our concepts fit in with other well-known classes of rings.

Keywords

Cite

@article{arxiv.2605.26160,
  title  = {Complemented elements in commutative rings},
  author = {P. Bhattacharjee and W. Wm. McGovern and Y. Zhou},
  journal= {arXiv preprint arXiv:2605.26160},
  year   = {2026}
}