A note on almost maximal chain rings
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 1-11.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

This paper discusses maximal and almost maximal rings in a non-commutative setting. Annihilators ideals in chain rings and their relationship to the concept of self-injectivity are investigated. In particular, a two-sided chain ring is right self-injective if and only if it is right co-Hopfian and a left maximal ring. Finally, localizations of chain rings are discussed.

Publié le :
DOI : 10.4171/rsmup/52
Classification : 16, 00
@article{RSMUP_2020__144__1_2,
     author = {Ulrich Albrecht and Francisco Javier Santill\'an-Covarrubias},
     title = {A note on almost maximal chain rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--11},
     volume = {144},
     year = {2020},
     doi = {10.4171/rsmup/52},
     mrnumber = {4186442},
     zbl = {1479.16016},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/52/}
}
TY  - JOUR
AU  - Ulrich Albrecht
AU  - Francisco Javier Santillán-Covarrubias
TI  - A note on almost maximal chain rings
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2020
SP  - 1
EP  - 11
VL  - 144
UR  - http://www.numdam.org/articles/10.4171/rsmup/52/
DO  - 10.4171/rsmup/52
LA  - en
ID  - RSMUP_2020__144__1_2
ER  - 
%0 Journal Article
%A Ulrich Albrecht
%A Francisco Javier Santillán-Covarrubias
%T A note on almost maximal chain rings
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2020
%P 1-11
%V 144
%U http://www.numdam.org/articles/10.4171/rsmup/52/
%R 10.4171/rsmup/52
%G en
%F RSMUP_2020__144__1_2
Ulrich Albrecht; Francisco Javier Santillán-Covarrubias. A note on almost maximal chain rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 1-11. doi : 10.4171/rsmup/52. http://www.numdam.org/articles/10.4171/rsmup/52/

Cité par Sources :