English

A Schreier Domain Type Condition

Commutative Algebra 2011-12-02 v1

Abstract

We study the integral domains D satisfying the following condition: whenever I >AB with I,A,B nonzero ideals, there exist ideals A'>A and B'>B such that I=A'B'.

Cite

@article{arxiv.1112.0132,
  title  = {A Schreier Domain Type Condition},
  author = {Zaheer Ahmad and Tiberiu Dumitrescu and Mihai Epure},
  journal= {arXiv preprint arXiv:1112.0132},
  year   = {2011}
}

Comments

7 pages

R2 v1 2026-06-21T19:44:35.409Z