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arXiv · 1505.00466

A Characterization of Modules with Cyclic Socle

Ali Assem
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Abstract

In 2009, J. Wood [15] proved that Frobenius bimodules have the extension property for symmetrized weight compositions. Later, in [9], it was proved that having a cyclic socle is sufficient for satisfying the property, while the necessity remained an open question. Here, landing in Midway, the necessity is proved, a module alphabet RA has the extension property for symmetrized weight compositions built on AutR(A) is necessarily having a cyclic socle.

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Ali Assem. 2015-05-03. A Characterization of Modules with Cyclic Socle. https://arxiv.org/abs/1505.00466

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