Hopficity of Modules and Rings (Survey)

LM Ben Yakoub - International Conference on Algebra, Codes and …, 2019 - Springer
Under the impulse of an elementary result that characterizes the finite dimensional vector
spaces (a linear application is injective if, and only if it is surjective) and partial results which …

The Sum Graph of Non-essential Submodules

S Rajaee - 2019 - sid.ir
Throughout this paper, R will denote a commutative ring with identity and M is a unitary R-
module and Z will denote the ring of integers. We introduce the graph Ω (M) of module M …