Dugas, Manfred.Wagner, Bradley M.2014-06-112017-04-072014-06-112017-04-072014-052014-06-11http://hdl.handle.net/2104/9113Let 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). In this paper we will study the automorphisms of FI(P) and D(P). We will also explore sufficient conditions for FI(P) to be zero product determined.en-USBaylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact librarywebmaster@baylor.edu for inquiries about permission.Finitary incidence algebras.Zero product determined algebras.Nagata idealization.ThesisWorldwide access.Access changed 10/6/16.