D. Ssevviiri

activity

20172022

most citedThe locally nilradical for modules over commutative rings

7 citations · 14 across the 6 of their papers we have counts for

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math.AC2020★ 7 cited

The locally nilradical for modules over commutative rings

Annet Kyomuhangi, David Ssevviiri

Let $R$ be a commutative unital ring and $a \in R .$ We introduce and study properties of a functor $a Γ_{a} (-),$ called the locally nilradical on the category of $R$ -modules. $aΓ_{a}…

math.AC2017

Red-injective modules

Juma Kasozi, David Ssevviiri, Vincent Umutabazi

Let $Red (M)$ be the sum of all reduced submodules of a module $M$ . For modules over commutative rings, $Soc (M) \subseteq Red (M)$ . By drawing motivation from how…

math.AC2017

Effect of nilpotency on semisimplicity and cohomology of the $Z$ -module $Z / (p_{1}^{k_{1}} \times \dots \times p_{n}^{k_{n}}) Z$

David Ssevviiri

We show that existence of nonzero nilpotent elements in the $Z$ -module $Z / (p_{1}^{k_{1}} \times \dots \times p_{n}^{k_{n}}) Z$ inhibits the module from possessing good structural propert…

The locally nilradical for modules over commutative rings

Red-injective modules

Effect of nilpotency on semisimplicity and cohomology of the Z-module Z/(p1k1​​×⋯×pnkn​​)Z

Effect of nilpotency on semisimplicity and cohomology of the $Z$ -module $Z / (p_{1}^{k_{1}} \times \dots \times p_{n}^{k_{n}}) Z$