Dimension result for the polynomial algebra \(\mathbb F_2[x_1,\dots,x_n]\) as a module over the Steenrod algebra

DOI10.1155/2013/150704zbMath1291.13035OpenAlexW2088257038WikidataQ58988597 ScholiaQ58988597MaRDI QIDQ2448816

Mbakiso Fix Mothebe

Publication date: 5 May 2014

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/150704

zbMATH Keywords

polynomial algebraSteenrod algebra.

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (4)

On Peterson's open problem and representations of the general linear groups ⋮ The hit problem for the polynomial algebra in some weight vectors ⋮ Some relations between admissible monomials for the polynomial algebra ⋮ On the generators of the polynomial algebra as a module over the Steenrod algebra

Cites Work

• Unnamed Item
• Admissible monomials and generating sets for the polynomial algebra as a module over the Steenrod algebra
• The transfer in homological algebra
• Generators of the cohomology of \(BV_3\)
• Generic \(\mathcal A\)-generators for the polynomial algebra
• Steenrod squares of polynomials and the Peterson conjecture
• A-generators for certain polynomial algebras
• On the Action of Steenrod Squares on Polynomial Algebras
• Hit polynomials and conjugation in the dual Steenrod algebra
• The negative answer to Kameko's conjecture on the hit problem

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