Geodesic
Properties of dual modules over Steenrod algebra
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 7 (2014), pp. 9-16

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Properties of annulators and modules generated by annulators, including dual modules over Steenrod algebra are studied. Properties of Kroneker pairing are proved using general properties of Steenrod algebra and dual algebra as graded connected Hopf algebras. Isomorphisms between modules generated by annulators and dual modules over dual Stennrod algebra are proved. It is shown that these modules are Hopf comodules induced by coproduct in dual Steenrod algebra. All generators of these modules are found. The method of finding basis of module of indecomposable elements, viewed as vector space over cyclic field for some of the studied modules.
Keywords: graded Hopf algebra, comodule over Steenrod algebra, dual module
Mots-clés : annulator, indecomposable element. 
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     author = {A. N. Vasilchenko},
     title = {Properties of dual modules over {Steenrod} algebra},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {9--16},
     publisher = {mathdoc},
     number = {7},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2014_7_a0/}
}
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A. N. Vasilchenko. Properties of dual modules over Steenrod algebra. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 7 (2014), pp. 9-16. http://geodesic.mathdoc.fr/item/VSGU_2014_7_a0/