Algebra Seminar
Modules over infinite dimensional algebras, by Lulwah AlEssa (Ohio University)
What 


When 
Apr 10, 2014 from 04:10 PM to 05:00 PM 
Where  Morton 322 
Contact Name  Sergio R. Lopez 
Contact Phone  740 593 1258 
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Abstract: Let A be an infinite dimensional K algebra, where K is a field and let B be a basis for A. In this talk we explore a property of the basis B that guarantees that K^B (the direct product of copies indexed by B of the field K) can be made into an Amodule in a natural way. We call bases satisfying that property “amenable” and we show that not all amenable bases yield isomorphic Amodules. Then we consider a relation (which we name congeniality) that guarantees that two different bases yield isomorphic Amodule structures on K^B. We will look at several examples in the familiar setting of the algebra K[x] of polynomials with coefficients in K. If time allows it, we will discuss some results regarding these notions in the context of Leavitt Path Algebras.
(joint work with Sergio R. L\’opezPermouth and Najat Muthana)