Fatma A. Ebrahim
Ohio University
Title
Affine transformation of bases Over the Algebra of Polynomials
Abstract
The notion of an \emph{amenable basis} for an infinite-dimensional algebra was introduced in [1] to extend the regular module structure of the algebra to a larger vector space. In this talk, We explore the transfer of properties between bases of an algebra and those of its ideals. We also consider a construction that yields non-simple bases that lie immediately above the simple Pascal bases. We do so via a construction which we call an affine transformation.
[1] L. Al-Essa, S. López-Permouth and N. Muthana, Modules over infinite dimensional algebras, Linear and Multilinear Algebra 66 (3), 488-496 (2018).
Zoom Link: https://osu.zoom.us/j/91349080594?pwd=avXqSsCgQuSTmtTprUm2nJERrfbgiK.1