Year: 2012
Type: article
Abstract: We investigate some properties of Rickart modules defined \nby Rizvi and Roman. Let R be an arbitrary ring with identity \nand M be a right R-module with S = EndR(M). A module \nM is called to be Rickart if for any f 2 S, rM(f) = Se, for some \ne2 = e 2 S. We prove that some results of principally projective \nrings and Baer modules can be extended to Rickart modules for this \ngeneral settings.
Authors: S Agayev, Sait Halıcıoğlu, Abdullah Harmancı
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1899772301