Nilpotent elements control the structure of a module

D Ssevviiri - arXiv preprint arXiv:1812.04320, 2018 - arxiv.org
A relationship between nilpotency and primeness in a module is investigated. Reduced
modules are expressed as sums of prime modules. It is shown that presence of nilpotent …

A complete radical formula and 2-primal modules

D Ssevviiri - arXiv preprint arXiv:1612.03021, 2016 - arxiv.org
We introduce a complete radical formula for modules over non-commutative rings which is
the equivalence of a radical formula in the setting of modules defined over commutative …