Weakly Laskerian rings versus Noetherian rings
Kamal Bahmanpour
University of Mohaghegh Ardabili, Ardabil, Iran and Institute for Research in Fundamental Sciences, Tehran, IranKamran 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