JP Journal of Algebra, Number Theory and Applications
Volume 47, Issue 1, Pages 67 - 86
(July 2020) http://dx.doi.org/10.17654/NT047010067 |
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THE HIT PROBLEM FOR THE POLYNOMIAL ALGEBRA AS A MODULE OVER STEENROD ALGEBRA, I
Nguyen Khac Tin
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Abstract: Let be the graded polynomial algebra with the degree of each generator being 1, where denotes the prime field of two elements. We study the hit problem, set up by Frank Peterson, of finding a minimal set of generators for the polynomial algebra as a module over the mod-2 Steenrod algebra,
In this paper, we explicitly determine all admissible monomials for the case in degree with s an arbitrary non-negative integer. Moreover, we study the hit problem of the degree in the case for |
Keywords and phrases: steenrod squares, hit problem, polynomial algebra.
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