Dari Radikal Ring Ke Radikal Modul (From Radical Of Rings To Radical Of Modules)

PW Prasetyo, S Wahyuni, IE Wijayanti… - Pros. Semin. Nas. Mat …, 2014 - jurnal.unej.ac.id
Radikal dalam teori ring pertama kali dibahas oleh Amitsur [2] dan Kurosh [7] hingga sampai
saat ini berkembang dalam teori modul. Pada paper ini akan dibahas kelas radikal dalam …

δ-small submodule and prime modules

B Ahmad, MM Abed - Journal of Mathematics and Statistics …, 2023 - al-kindipublisher.com
In this paper, we introduced and studied δ-small submodule over prime module. Two
concepts are very important namely strongly prime submodule and completely prime …

-regular modules

GN Sudharshana, D Sivakumar - Missouri Journal of Mathematical …, 2023 - projecteuclid.org
The notion of $ R $-regular module is introduced. We will show that if $ M $ is a torsion-free
module over a commutative ring, then $ M $ is $ R $-regular module if and only if $ M $ is a …

[PDF][PDF] A contribution to the theory of prime modules

D Ssevviiri - 2013 - academia.edu
This thesis is aimed at generalizing notions of rings to modules. In particular, notions of
completely prime ideals, s-prime ideals, 2-primal rings and nilpotency of elements of rings …

Characterizations of unique maximal submodule and strong m-system

GN Sudharshana, D Sivakumar - J. Math. Comput. Sci., 2021 - scik.org
In this paper we have introduced the concept of strong m-system in modules over non-
commutative rings. Using the strong m-system, the existence of unique maximal submodule …

[PDF][PDF] A NOTE ON THE GENERALIZED NILPOTENT ELEMENTS OF A MODULE

S PURKAYASTHA, HK SAIKIA - research-publication.com
In this paper, we introduce the notion of the generalized nilpotent element of a module. In [4],
the notion of nilpotent element of a module is introduced in the following sense: a non-zero …