Some results on retracts of polynomial rings
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 C. Finally, we examine the behaviour of ideals and certain properties of rings under retractions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.