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arXiv · 1911.07632

A note on an inverse problem in algebra

Gaurav Mittal
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Abstract

In this paper, we discuss the inverse problem of determining a semisimple group algebra from the knowledge of rings of the type sum_{t=1}^s M_{n_t}(Ft), where j is an arbitrary integer and F_t is finite field for each t, and show that it is ill-posed. After then, we define the concept of completeness of the rings of the type sum_{t=1}^s M_{n_t}(Ft) to pose a well-posed inverse problem and propose a conjecture in this direction.

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Gaurav Mittal. 2019-11-18. A note on an inverse problem in algebra. https://arxiv.org/abs/1911.07632

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