SIFAT KEPRIMAAN MODUL SEDERHANA CHEN UNTUK GRAF ????∞

Risnawita Risnawita (Kelompok Keahlian Aljabar, FMIPA Institut Teknologi Bandung)
Irawati Irawati (Kelompok Keahlian Aljabar, FMIPA Institut Teknologi Bandung)
Intan Muchtadi Alamsyah (Kelompok Keahlian Aljabar, FMIPA Institut Teknologi Bandung)

Epsilon: Jurnal Matematika Murni dan Terapan
Vol 12, No 2 (2018): JURNAL EPSILON VOLUME 12 NOMOR 2

Let ???????? be a field, ???????? is a directed graph. Let ????????~ is a directed line graph. Suppose that ????????[????????] is a class of Chen simple module for the Leavitt path algebra (???????????????? (????????)), with [p] being equivalent classes containing an infinite path. An infinite path p is an infinite sequence from the sides of a graph. In this paper it will be shown that ????????[????????]is not a prime module of the Leavitt path algebra for graph ????????∞ .Keywords : Leavitt path algebra, Graph ????????~, Chen simple modules, Prime modules