Rings whose nonsingular modules have projective covers

• Datum: 2016
• Hauptverfasser: Asgari, Sh., Haghany, A., Асгарі, Ш., Хагані, А.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1817
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We determine rings $R$ with the property that all (finitely generated) nonsingular right $R$-modules have projective covers. These are just the rings with $t$-supplemented (finitely generated) free right modules. Hence, they are called right (finitely) $\Sigma -t$-supplemented. It is also shown that...