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Paper   IPM / M / 15700
School of Mathematics
  Title:   On isonoetherian and isoartinian modules
  Author(s):  Zahra Nazemian (Joint with A. Facchini)
  Status:   Published
  Journal: Contemp. Math.
  Year:  2019
  Pages:   DOI: 10.1090/conm/730/14707
  Supported by:  IPM
We present the basic results concerning isoartinian and isonoethe- rian rings and modules. These rings and modules, which were essentially defined in two papers of ours recently published in the Journal of Algebra, generalize artinian and noetherian rings and modules. In particular, here we focus on the isoradical of a ring, which is a generalization of the Jacobson radi- cal, and modules generated by isosimple modules, which generalize semisimple modules. Open problems are given at the end of each section.

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