Calsification of ideals in leavitt path algebra

Leavitt path algebras that were constructed on a field K and a directed graph E , were first defined in 2005, and have since become a popular research topic in both functional analysis and ring theory. In ring theory, the classification of ideals is important, because it contains information about the structure of the ring. Although the ideals of Leavitt path algebras have not been dealt with alone, their results are in many studies. In this study, published articles, books and theses on the subject were examined, all known results related to two sided ideal structure have been compiled and a source in Turkish has been created. In this thesis, prime, maximal, primitive ideal structures, structure theorem for graded ideals, finite dimensional quotients of Leavitt path algebras have been studied.