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arXiv · 1805.03299

Matricial Closure

Frank Murphy-Hernandez·Francisco Raggi·Jose Rios
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Abstract

We study a closure operator derived from the matrix endofunctor on the category of rings with unity. We investigate the invariance of various ring-theoretic properties under this operator. A key finding is the decisive nature of this operator: a property is either preserved for all rings or fails for all rings. This work provides a comprehensive analysis of the behavior of ring properties under matricial closure, including chain conditions, radical-theoretic properties, and other structural characteristics.

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Frank Murphy-Hernandez, Francisco Raggi, Jose Rios. 2018-05-08. Matricial Closure. https://arxiv.org/abs/1805.03299

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