Motivic Steenrod operations in characteristic p
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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
Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra
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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
Projective Nullstellensatz for not necessarily algebraically closed fields
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DOI: 10.1142/s0219498825410208
Abstract: The Nullstellensatz, proved by Hilbert in 1893, is a classical result that holds when the base field is algebraically closed. When the base field is finite, a version of Hilbert's Nullstellensatz is given by Terjanian… read more here.
Keywords: algebraically closed; closed fields; base field; hilbert ... See more keywords