Weakly Laskerian rings versus Noetherian rings
Bahmanpour, Kamal1 ; Divaani-Aazar, Kamran2
1 University of Mohaghegh Ardabili, Ardabil, Iran and Institute for Research in Fundamental Sciences, Tehran, Iran
2 Alzahra University and Institute for Research in Fundamental Sciences, Tehran, Iran
Rendiconti del Seminario Matematico della Università di Padova, Tome 138 (2017), pp. 239-256.

Let R be a commutative ring with identity.We investigate some ring-theoretic properties of weakly Laskerian R-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.

Publié le :
DOI : 10.4171/RSMUP/138-12
Classification : 13
Mots clés : FSF modules, ring extensions, trivial extensions, weakly Laskerian modules
Bahmanpour, Kamal 1 ; Divaani-Aazar, Kamran 2

1 University of Mohaghegh Ardabili, Ardabil, Iran and Institute for Research in Fundamental Sciences, Tehran, Iran
2 Alzahra University and Institute for Research in Fundamental Sciences, Tehran, Iran 
@article{RSMUP_2017__138__239_0,
     author = {Bahmanpour, Kamal and Divaani-Aazar, Kamran},
     title = {Weakly {Laskerian} rings versus {Noetherian} rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {239--256},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {138},
     year = {2017},
     doi = {10.4171/RSMUP/138-12},
     mrnumber = {3743254},
     zbl = {1393.13019},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/138-12/}
}
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%A Divaani-Aazar, Kamran
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%D 2017
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Bahmanpour, Kamal; Divaani-Aazar, Kamran. Weakly Laskerian rings versus Noetherian rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 138 (2017), pp. 239-256. doi : 10.4171/RSMUP/138-12. http://www.numdam.org/articles/10.4171/RSMUP/138-12/

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