On k-Noetherian and k-Artinian Semirings

2019/07/13 by Abuhlail, Jawad, Noegraha, Rangga Ganzar · 1 citation
#16Y60 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1907.06149

Abstract

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 celebrated Bass-Papp Theorem for semiring. We illustrate our main results by examples and counter examples.

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