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On the K-theory of truncated polynomial algebras, revisited

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0 Published in 2020 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2020.107083

Abstract: We revisit the computation, due to Hesselholt and Madsen, of the K-theory of truncated polynomial algebras for perfect fields of positive characteristic. The resulting K-groups are expressed in terms of big Witt vectors of the… read more here.

Keywords: theory truncated; algebras revisited; truncated polynomial; polynomial algebras ... See more keywords

A class of retracts of polynomial algebras

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1 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;

Discriminants of polynomial algebras over the symmetric polynomials

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0 Published in 2020 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1734932

Abstract: Abstract Let K be a commutative algebra over a field and the polynomial algebra over K. It is proved that the discriminant of A over the symmetric polynomials is the Vandermonde determinant on to the… read more here.

Keywords: symmetric polynomials; polynomial algebras; discriminants polynomial; algebras symmetric ... See more keywords