Some results on retracts of polynomial rings
Commutative Algebra
2020-09-15 v1
Abstract
In this paper, we first consider the relationship between a polynomial ring over a Noetherian domain and the ring of invariants of a -action on , when occurs as a retract of . Next, we study retracts of a polynomial ring in general and address the questions of D. L. Costa raised in \cite{C}. Finally, we examine the behaviour of ideals and certain properties of rings under retractions.
Cite
@article{arxiv.1910.11023,
title = {Some results on retracts of polynomial rings},
author = {Sagnik Chakraborty and Nikhilesh Dasgupta and Amartya Kumar Dutta and Neena Gupta},
journal= {arXiv preprint arXiv:1910.11023},
year = {2020}
}