The radical formula for noncommutative rings

  • M. Alkan
  • O. Ӧneş

Abstract

UDC 512.5
We determine some classes of left modules satisfying the radical formula in a noncommutative ring. We also show that, under a certain condition, a finitely generated module over an $HNP$-ring (the generalization of Dedekind domain) both satisfies the radical formula and can be decomposed into a direct sum of torsion modules and extending modules.
Published
25.09.2019
How to Cite
Alkan, M., and ӦneşO. “The Radical Formula for Noncommutative Rings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 9, Sept. 2019, pp. 1241-8, http://umj.imath.kiev.ua/index.php/umj/article/view/1512.
Section
Research articles