English

Regular submodules of torsion modules over a discrete valuation domain

Commutative Algebra 2016-02-03 v1 Group Theory

Abstract

A submodule WW of a p-primary module MM of bounded order is known to be regular if WW and MM have simultaneous bases. In this paper we derive necessary and sufficient conditions for regularity of a submodule.

Keywords

Cite

@article{arxiv.1601.06356,
  title  = {Regular submodules of torsion modules over a discrete valuation domain},
  author = {Pudji Astuti and Harald K. Wimmer},
  journal= {arXiv preprint arXiv:1601.06356},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-22T12:35:33.382Z