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ALJABAR LINTASAN LEAVITT SEDERHANA; SIMPLE LEAVITT PATH ALGEBRA

IDA KURNIA WALIYANTI, Indah Emilia Wijayanti

2011 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

Graph can be represented into a path algebra over field K by adding two axioms, denoteds by KE. If the graph is extended and added by axioms CK1 and CK2, then can be defined Leavitt path algebra that is denoted by L(E). In fact, KE is a sub algebra of L(E). Leavitt path algebra is ? -graded algebra which graded ideals are generated by hereditery and saturated subset of vertex set in graph. Futhermore, through isomorphism of K-algebra, this ideals are Leavitt path algebra too. By the simple properties of elemen of Leavitt path algebra, that are elemens that contains only real path or ghost path, can be found term of graph to define simple Leavitt path algebra.

Kata Kunci : aljabar, lintasan levitt


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