• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Article

Some results on retracts of polynomial rings

Journal of Algebra. 2021. Vol. 567. P. 243-268.
Chakraborty S., Dasgupta N., Dutta A. K., Gupta N.
Editor of translation: B. Ulrich.

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.