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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Official URL: http://doi.org/10.1016/j.jalgebra.2020.08.030
Related URL: http://dx.doi.org/10.1016/j.jalgebra.2020.08.030
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 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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