A fresh look into monoid rings and formal power series rings
Commutative Algebra
2018-02-23 v2
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.
Keywords
Cite
@article{arxiv.1709.01426,
title = {A fresh look into monoid rings and formal power series rings},
author = {Abolfazl Tarizadeh},
journal= {arXiv preprint arXiv:1709.01426},
year = {2018}
}
Comments
15 pages