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20162026
most citedThe locally nilradical for modules over commutative rings

7 citations · 21 across the 17 of their papers we have counts for

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Showing 2022Show all

6 papers · 1 filter

math.RA2022

On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence

Abebaw Tilahun, Mamo S. Amanuel, Ssevviiri David +1

Let A be a commutative unital ring and a an ideal in it. We define and study a-reduced complexes and a-coreduced complexes in both the category of chain complexes of A-modules as w…

math.AC2022

Reduced submodules of finite dimensional polynomial modules

Tilahun Abebaw, Nega Arega, Teklemichael Worku Bihonegn +1

Let be a field with characteristic zero, be the ring and be a monomial ideal of . We study the Artinian local algebra when considered as…

math.RA2022

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…

math.RA2022★ 3 cited

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…

math.RA2022★ 3 cited

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…

math.RA2022

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 $…