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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2014, Issue 7(118), Pages 9–16
(Mi vsgu423)
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Mathematics
Properties of dual modules over Steenrod algebra
A. N. Vasilchenko Samara State University, Samara, 443011, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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, annulator, dual module, indecomposable element.
Received: 22.05.2014 Revised: 19.07.2014
Citation:
A. N. Vasilchenko, “Properties of dual modules over Steenrod algebra”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 7(118), 9–16
Linking options:
https://www.mathnet.ru/eng/vsgu423 https://www.mathnet.ru/eng/vsgu/y2014/i7/p9
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Abstract page: | 142 | Full-text PDF : | 62 | References: | 35 |
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