PROPERTIES OF DUAL MODULES OVER STEENROD ALGEBRA



Cite item

Full Text

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

About the authors

A.N. Vasilchenko

Samara State University

Author for correspondence.
Email: morenov.sv@ssau.ru

References

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2014 Vasilchenko A.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies