Acta Mathematica Vietnamica

Submit manuscript

Online first articles

Recent issues

Volumes and issues

Volume 50
- N01
- N02
Volume 49
- N01
- N02
- N03
- N04
Volume 48
- N01
- N02
- N03
- N04
Volume 47
- N01
- N02
- N03
- N04
Volume 46
- N01
- N02
- N03
- N04
Volume 45
- N01
- N02
- N03
- N04
Volume 44
- N01
- N02
- N03
- N04
Volume 43
- N01
- N02
- N03
- N04
Volume 42
- N01
- N02
- N03
- N04
Volume 41
- N01
- N02
- N03
- N04
Volume 40
- N01
- N02
- N03
- N04
Volume 39
- N01
- N02
- N03
- N04
Volume 38
- N01
- N02
- N03
- N04
Volume 37
- N01
- N02
- N03
- N04
Volume 36
- N01
- N02
- N03
Volume 35
- N01
- N02
- N03
Volume 34
- N01
- N02
- N03
Volume 33
- N01
- N02
- N03
Volume 32
- N01
- N02&03
Volume 31
- N01
- N02
- N03
Volume 30
- N01
- N02
- N03
Volume 29
- N01
- N02
- N03
Volume 28
- N01
- N02
- N03
Volume 27
- N01
- N02
- N03
Volume 26
- N01
- N02
- N03
Volume 25
- N01
- N02
- N03
Volume 24
- N01
- N02
- N03
Volume 23
- N01
- N02
Volume 22
- N01
- N02
Volume 21
- N01
- N02
Volume 20
- N01
- N02
Volume 19
- N01
- N02
Volume 18
- N01
- N02
Volume 17
- N01
- N02
Volume 16
- N01
- N02
Volume 15
- N01
- N02
Volume 14
- N01
- N02
Volume 13
- N01
- N02
Volume 12
- N01
- N02
Volume 11
- N01
- N02
Volume 10
- N01
- N02
Volume 9
- N01
- N02
Volume 8
- N01
- N02
Volume 7
- N01
- N02
Volume 6
- N01
- N02
Volume 5
- N01
- N02
Volume 4
- N01
- N02
Volume 3
- N01
- N02
Volume 2
- N01
- N02
Volume 1
- N01
- N02

Open access issues

On a Minimal Set of Generators for the Polynomial Algebra of Five Variables as a Module over the Steenrod Algebra

Dang Vo Phuc , $icon-email$ Nguyen Sum

Abstract

Let $P_{k}$ be the graded polynomial algebra $F_{2} [x_{1}, x_{2}, \dots, x_{k}]$ over the prime field of two elements, $F_{2}$ , with the degree of each $x_{i}$ being 1. We study the hit problem, set up by Frank Peterson, of finding a minimal set of generators for $P_{k}$ as a module over the mod-2 Steenrod algebra, $A$ . In this paper, we explicitly determine a minimal set of $A$ -generators for $P_{k}$ in the case $k = 5$ and the degree $4 (2^{d} - 1)$ with d an arbitrary positive integer.

Acta Mathematica Vietnamica

Search within journal

On a Minimal Set of Generators for the Polynomial Algebra of Five Variables as a Module over the Steenrod Algebra

Abstract