On the generators of the polynomial algebra as a module over the Steenrod algebra
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چکیده
منابع مشابه
Truncated Polynomial Algebras over the Steenrod Algebra
MOHAMED ALI It is shown that the classification of polynomial algebras over the mod p Steenrod algebra is an essentially different problem from the classification of polynomial algebras truncated at height greater than p over the Steenrod algebra . 0 . Introduction . Let B = Zp[y2n y2n2, . . . , y2n,] be a polynomial algebra over A(p), the mod p Steenrod algebra, where yen ; has dimension 2ni a...
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Suppose that A2 is the mod-2 Steenrod algebra, and that R = F2[x1, . . . , xn] is the polynomial ring in n variables over the prime field F2. Campbell and Selick [3] observed that the equations Sqxi = x 2 i−1 for 2≤ i≤ n, and Sqx1 = x 2 n, define an action of A2 on R that makes R isomorphic as an A2-module to the A2-module defined by the standard action on R. In that paper, they also pose the f...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2015
ISSN: 1631-073X
DOI: 10.1016/j.crma.2015.09.002