2018/05/29 by Armando Reyes, Reyes, Armando, Héctor Suárez +1
Chemistry · Mathematics · Neuroscience · #16S30 #16S36 #16T20 #Algebraic structures and combinatorial models #Axon Guidance and Neuronal Signaling #FOS: Mathematics #Oxidative Organic Chemistry Reactions #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1805.11982
openalex publication_date 2018/05/29 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
In this paper we introduce the notion of weak Σ-rigid ring which extends α-rigid rings and Σ-rigid rings defined for Ore extensions and skew PBW extensions, respectively. We also present the notion of weak Σ-skew Armendariz ring which extends that of α-skew Armendariz ring. In this way we generalize several results in the literature, from Ore extensions of injective type to the more general setting of skew PBW extensions.