Rings whose nonsingular modules have projective covers

• Date: 2016
• Main Authors: Asgari, Sh., Haghany, A., Асгарі, Ш., Хагані, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1817
• Journal Title: 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...