Weakly Laskerian rings versus Noetherian rings

  • Kamal Bahmanpour

    University of Mohaghegh Ardabili, Ardabil, Iran and Institute for Research in Fundamental Sciences, Tehran, Iran
  • Kamran Divaani-Aazar

    Alzahra University and Institute for Research in Fundamental Sciences, Tehran, Iran

Abstract

Let be a commutative ring with identity.We investigate some ring-theoretic properties of weakly Laskerian -modules. Our results indicate that weakly Laskerian rings behave as Noetherian ones in many respects. However, we provide some examples to illustrate the strange behavior of these rings in some other respects.

Cite this article

Kamal Bahmanpour, Kamran Divaani-Aazar, Weakly Laskerian rings versus Noetherian rings. Rend. Sem. Mat. Univ. Padova 138 (2017), pp. 239–256

DOI 10.4171/RSMUP/138-12