2013/02/12 by Burcu Üngör, Ungor, Burcu, Sait Halıcıoğlu +3
Mathematics · #13C99 #16D80 #16U80 #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1302.2725
openalex publication_date 2013/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be an arbitrary ring with identity and M a right R-module with S= EndR(M). Let Z2(M) be the second singular submodule of M. In this paper, we define Goldie Rickart modules by utilizing the endomorphisms of a module. The module M is called Goldie Rickart if for any f∈ S, f-1(Z2(M)) is a direct summand of M. We provide several characterizations of Goldie Rickart modules and study their properties. Also we present that semisimple rings and right Σ-t-extending rings admit some characterizations in terms of Goldie Rickart modules.