A note on retracts of polynomial rings in three variables
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DOI: 10.1016/j.jalgebra.2019.05.040
Abstract: In Costa's paper published in 1977, he asks us whether every retract of $k^{[n]}$ is also the polynomial ring or not, where $k$ is a field. In this paper, we give an affirmative answer in… read more here.
Keywords: three variables; retracts polynomial; polynomial rings; rings three ... See more keywords
A class of retracts of polynomial algebras
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2017.04.009
Abstract: Abstract We show that all retractions of polynomial algebras with sparse homogeneous parts are conjugate to the canonical ones, and as a consequence, the corresponding retracts are isomorphic to polynomial algebras. read more here.
Keywords: retracts polynomial; polynomial algebras; class retracts;