6 citations · 33 across the 31 of their papers we have counts for
5 papers · 2 filters
On Semisimple Semirings
Jawad Y. Abuhlail, Rangga Ganzar Noegraha
We investigate ideal-semisimple and congruence-semisimple semirings. We give several new characterizations of such semirings using e-projective and e-injective semimodules. We exte…
On k-Noetherian and k-Artinian Semirings
Jawad Abuhlail, Rangga Ganzar Noegraha
We investigate left k-Noetherian and left k-Artinian semirings. We characterize such semirings using i-injective semimodules. We prove in particular, a partial version of the celeb…
Flat Semimodules & von Neumann Regular Semirings
Jawad Abuhlail, Rangga Ganzar Noegraha
Flat modules play an important role in the study of the category of modules over rings and in the characterization of some classes of rings. We study the e-flatness for semimodules…
Injective Semimodules - Revisited
Jawad Abuhlail, Rangga Ganzar Noegraha
Injective modules play an important role in characterizing different classes of rings (e.g. Noetherian rings, semisimple rings). Some semirings have no non-zero injective semimodul…
Pushouts and e-Projective Semimodules
Jawad Abuhlail, Rangga Ganzar Noegraha
Projective modules play an important role in the study of the category of modules over rings and in the characterization of various classes of rings. Several characterizations of p…