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arXiv · 1709.01426

A fresh look into monoid rings and formal power series rings

Abolfazl Tarizadeh
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Abstract

In this article, the ring of polynomials is studied in a systematic way through the theory of monoid rings. As a consequence, this study provides natural and canonical approaches in order to find easy and rigorous proofs and methods for many facts on polynomials and formal power series; some of them as sample are treated in this note. Besides the universal properties of the monoid rings and polynomial rings, a universal property for the formal power series rings is also established.

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Abolfazl Tarizadeh. 2017-09-05. A fresh look into monoid rings and formal power series rings. https://arxiv.org/abs/1709.01426

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