Some results on retracts of polynomial rings

Chakraborty, Sagnik ; Dasgupta, Nikhilesh ; Dutta, Amartya Kumar ; Gupta, Neena (2021) Some results on retracts of polynomial rings Journal of Algebra, 567 . pp. 243-268. ISSN 0021-8693

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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 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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Retract; Polynomial Ring; Locally Nilpotent Derivation; Ga-Action; Exponential Map; A2; -Fibration.
ID Code:121171
Deposited On:12 Jul 2021 09:39
Last Modified:12 Jul 2021 09:39

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