On the existence of maximal 𝒮-closed submodules
Albrecht, Ulrich1
1 Auburn University, AUBURN, UNITED STATES
Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 277-289.

The goal of this paper is to characterize the right non-singular rings R for which every non-singular right R-module contains a maximal 𝒮-closed submodule. Several examples and related results are given.

DOI : 10.4171/RSMUP/136-18
Classification : 16
Mots clés : $\mathcal S$-closed submodule, primitive idempotents, reduced ring
Albrecht, Ulrich 1

1 Auburn University, AUBURN, UNITED STATES 
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     title = {On the existence of maximal $\mathcal S$-closed submodules},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {277--289},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {136},
     year = {2016},
     doi = {10.4171/RSMUP/136-18},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/136-18/}
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Albrecht, Ulrich. On the existence of maximal $\mathcal S$-closed submodules. Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 277-289. doi : 10.4171/RSMUP/136-18. http://www.numdam.org/articles/10.4171/RSMUP/136-18/

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