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 
@article{RSMUP_2016__135__157_0,
     author = {Albrecht, Ulrich and Scible, Gregg},
     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},
     doi = {10.4171/RSMUP/135-9},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/135-9/}
}
TY  - JOUR
AU  - Albrecht, Ulrich
AU  - Scible, Gregg
TI  - Finitely generated modules and chain rings
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2016
SP  - 157
EP  - 173
VL  - 135
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://archive.numdam.org/articles/10.4171/RSMUP/135-9/
DO  - 10.4171/RSMUP/135-9
LA  - en
ID  - RSMUP_2016__135__157_0
ER  - 
%0 Journal Article
%A Albrecht, Ulrich
%A Scible, Gregg
%T Finitely generated modules and chain rings
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2016
%P 157-173
%V 135
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://archive.numdam.org/articles/10.4171/RSMUP/135-9/
%R 10.4171/RSMUP/135-9
%G en
%F RSMUP_2016__135__157_0
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://archive.numdam.org/articles/10.4171/RSMUP/135-9/

Cité par Sources :