Radicals of incidence algebras

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Kanuni, Müge.
dc.contributor.author	Çanakçı, İlke.
dc.date.accessioned	2023-03-16T11:21:34Z
dc.date.available	2023-03-16T11:21:34Z
dc.date.issued	2007.
dc.description.abstract	The incidence algebra of a locally finite partially ordered set X; with the partial ordering "≤", over a ring with identity T is defined as the set of all mappings f : X x X ---T where f(x; y) = 0 for all x; y 2 X with x 6· y and denoted by I(X; T): The operations on I(X; T) are given by (f + g)(x; y) = f(x; y) + g(x; y) (f ¢ g)(x; y) = X x·z·y f(x; z) ¢ g(z; y) (r ¢ f)(x; y) = rf(x; y) for f; g 2 I(X; T); r 2 T and x; y 2 X: When the ring R is commutative, the ring I(X;R) becomes an algebra. The aim of this study is to investigate some special radicals of incidence algebras and determine the necessary and sufficient conditions characterizing elements of these radicals by using the very definition of the strong product property.
dc.format.extent	30cm.
dc.format.pages	x, 81leaves;
dc.identifier.other	MATH 2007 C36
dc.identifier.uri	https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15232
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007.
dc.subject.lcsh	Incidence algebras.
dc.title	Radicals of incidence algebras

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