2012/11/16 by Tayyebeh Amouzegar, Amouzegar, Tayyebeh, Derya Keskı̇n Tütüncü +4
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA
paper · pdf · doi:10.48550/arxiv.1211.3874
arxiv created 2012/11/16 · openalex publication_date 2012/11/16 · arxiv updated 2012/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the notions of t-lifting modules and t-dual Baer modules, which are generalizations of lifting modules. It is shown that an amply supplemented module M is t-lifting if and only if M is t-dual Baer and a t-K-module. We also prove that, over a right perfect ring R, every noncosingular R-module is injective if and only if every R-module is t-dual Baer if and only if every R-module is t-lifting if and only if every injective R-module is t-lifting.