Now showing items 1-3 of 3

    • Finitary incidence algebras. 

      Wagner, Bradley M. (, 2014-06-11)
      Let P be an arbitrary partially ordered set and I(P) its incidence space. Then F(P) is the finitary incidence algebra and I(P) is a bimodule over it. Consequently we can form D(P) = FI(P) ⊕ I(P) the idealization of I(P). ...
    • On a ring associated to F[x]. 

      Aceves, Kelly Fouts. (, 2013-09-24)
      For a field F and the polynomial ring F [x] in a single indeterminate, we define Ḟ [x] = {α ∈ End_F(F [x]) : α(ƒ) ∈ ƒF [x] for all ƒ ∈ F [x]}. Then Ḟ [x] is naturally isomorphic to F [x] if and only if F is infinite. If F ...
    • On rings with distinguished ideals and their modules. 

      Buckner, Joshua. (2007-05-23)
      Let S be an integral domain, R an S algebra, and F a family of left ideals of R. Define End(R, F) = {φ ∈ End(R+) : φ(X ) ⊆ X for all X ∈ F }. In 1967, H. Zassenhaus proved that if R is a ring such that R+ is free of finite ...