7 citations · 14 across the 6 of their papers we have counts for
7 papers · 1 filter
Morphic elements in regular near-rings
Alex Samuel Bamunoba, Ivan Philly Kimuli, David Ssevviiri
We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is properly contained between the cla…
Weakly-morphic modules
Philly Ivan Kimuli, David Ssevviiri
Let be a commutative ring, an -module and be the endomorphism of given by right multiplication by . We say that is {\it weakly-morphic} if $M/φ_a(M…
Generalised reduced modules
Annet Kyomuhangi, David Ssevviiri
Let be a commutative unital ring, and a positive integer. -reduced -modules and universally -reduced -modules are defined and their properties…
Applications of reduced and coreduced modules I
David Ssevviiri
This is the first in a series of papers highlighting the applications of reduced and coreduced modules. Let be a commutative unital ring and an ideal of . We show that $…
Nilpotent elements control the structure of a module
David Ssevviiri
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 module e…
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…