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.

Publié le :
DOI : 10.4171/rsmup/52
Classification : 16, 00 
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     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://archive.numdam.org/articles/10.4171/rsmup/52/}
}
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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://archive.numdam.org/articles/10.4171/rsmup/52/

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