A note on an inverse problem in algebra
Rings and Algebras
2019-11-19 v1
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.
Cite
@article{arxiv.1911.07632,
title = {A note on an inverse problem in algebra},
author = {Gaurav Mittal},
journal= {arXiv preprint arXiv:1911.07632},
year = {2019}
}