Subsocles and direct sum of uniserial modules
DOI:
https://doi.org/10.13069/jacodesmath.1000852Keywords:
QTAG-modules, $h$-pure submodules, SoclesAbstract
Suppose $M$ is a QTAG-module with a subsocle $S$ such that $M/S$ is a direct sum of uniserial modules. Our global aim here is to investigate an interesting connection between the structure of $M/S$ and the QTAG-module $M$. Specifically, the condition $S = Soc(N)$ for some $h$-pure submodules $N$ of $M$ allows $M$ to inherit the structure of $M/S$.
Received: 27 November 2020 | Accepted: 16 April 2021Downloads
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