A note on almost maximal chain rings
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 1-11
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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.
@article{RSMUP_2020__144__1_2,
author = {Albrecht, Ulrich and Santill\'an-Covarrubias, Francisco Javier},
title = {A note on almost maximal chain rings},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {1--11},
year = {2020},
volume = {144},
doi = {10.4171/rsmup/52},
mrnumber = {4186442},
zbl = {1479.16016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4171/rsmup/52/}
}
TY - JOUR AU - Albrecht, Ulrich AU - Santillán-Covarrubias, Francisco Javier 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://geodesic.mathdoc.fr/articles/10.4171/rsmup/52/ DO - 10.4171/rsmup/52 LA - en ID - RSMUP_2020__144__1_2 ER -
%0 Journal Article %A Albrecht, Ulrich %A Santillán-Covarrubias, Francisco Javier %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://geodesic.mathdoc.fr/articles/10.4171/rsmup/52/ %R 10.4171/rsmup/52 %G en %F RSMUP_2020__144__1_2
Albrecht, Ulrich; Santillán-Covarrubias, Francisco Javier. 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
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