Characterizing Baer Modules Over τ_q-Semisimple Rings: An Extension of Baer's Problem

2023/07/21 by Xiaolei Zhang, Hwankoo Kım, Zhang, Xiaolei +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2307.11367

openalex publication_date 2023/07/21 · openalex created_date 2023/07/25 · openalex updated_date 2026/07/28

Abstract

In this note, we investigate the Baer splitting problem over commutative rings. In particular, we show that if a commutative ring R is τ_q-semisimple, then every Baer R-module is projective.

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