Some results on retracts of polynomial rings

Authors

Sagnik Chakraborty, Ramakrishna Mission Vivekananda Educational and Research Institute
Nikhilesh Dasgupta, Narsee Monjee Institute of Management Studies, Mumbai
Amartya Kumar Dutta, Indian Statistical Institute, Kolkata
Neena Gupta, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Algebra

Abstract

In this paper, we first consider the relationship between a polynomial ring B over a Noetherian domain R and the ring of invariants A of a Ga-action on B, when A occurs as a retract of B. Next, we study retracts of a polynomial ring in general and address the questions of D.L. Costa raised in [5]. Finally, we examine the behaviour of ideals and certain properties of rings under retractions.

First Page

243

Last Page

268

DOI

10.1016/j.jalgebra.2020.08.030

Publication Date

2-1-2021

Comments

Open Access, Green

Recommended Citation

Chakraborty, Sagnik; Dasgupta, Nikhilesh; Dutta, Amartya Kumar; and Gupta, Neena, "Some results on retracts of polynomial rings" (2021). Journal Articles. 2112.
https://digitalcommons.isical.ac.in/journal-articles/2112