Finitely generated modules and chain rings
Albrecht, Ulrich1 ; Scible, Gregg2
1 Auburn University, AUBURN, UNITED STATES
2 Valencia College, ORLANDO, UNITED STATES
Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 157-173.

This paper investigated finitely generated singular modules over a right chain ring R. We show that these modules behave similar to those over valuation rings provided R is a right duo ring. We also demonstrate that the duo condition cannot be removed from our discussion.

DOI : 10.4171/RSMUP/135-9
Classification : 16D70, 16P70
Mots-clés : Chain rings, annihilators, finitely generated, singular module
Albrecht, Ulrich 1 ; Scible, Gregg 2

1 Auburn University, AUBURN, UNITED STATES
2 Valencia College, ORLANDO, UNITED STATES 
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     title = {Finitely generated modules and chain rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {157--173},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {135},
     year = {2016},
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     language = {en},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/135-9/}
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Albrecht, Ulrich; Scible, Gregg. Finitely generated modules and chain rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 157-173. doi : 10.4171/RSMUP/135-9. http://www.numdam.org/articles/10.4171/RSMUP/135-9/

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