Articles with "base field" as a keyword



Motivic Steenrod operations in characteristic p

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Published in 2020 at "Forum of Mathematics, Sigma"

DOI: 10.1017/fms.2020.34

Abstract: Abstract For a prime p and a field k of characteristic $p,$ we define Steenrod operations $P^{n}_{k}$ on motivic cohomology with $\mathbb {F}_{p}$ -coefficients of smooth varieties defined over the base field $k.$ We show… read more here.

Keywords: motivic steenrod; steenrod operations; field; base field ... See more keywords
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Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra

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Published in 2022 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498823501402

Abstract: We introduce the concept of a λ-Hopf algebra as a Hopf algebra obtained as the partial smash product algebra of a Hopf algebra and its base field, and show that every Hopf algebra is a… read more here.

Keywords: algebra base; algebra; hopf algebra; partial actions ... See more keywords