4 papers
math.AC2017
Red-injective modules
Juma Kasozi, David Ssevviiri, Vincent Umutabazi
Let be the sum of all reduced submodules of a module . For modules over commutative rings, . By drawing motivation from how…
math.RA2017
On completely prime submodules
David Ssevviiri
The formal study of completely prime modules was initiated by N. J. Groenewald and the current author in the paper; Completely prime submodules, {\it Int. Elect. J. Algebra}, {\bf…
math.RA2017
A relationship between 2-primal modules and modules that satisfy the radical formula
David Ssevviiri
The coincidence of the set of all nilpotent elements of a ring with its prime radical has a module analogue which occurs when the zero submodule satisfies the radical formula. A ri…
math.AC2017
Effect of nilpotency on semisimplicity and cohomology of the -module
David Ssevviiri
We show that existence of nonzero nilpotent elements in the -module inhibits the module from possessing good structural propert…