Ring Noetherian dan Ring Artinian

Fitriani Fitriani (Sekolah Tinggi Ilmu Keguruan dan Pendidikan (STKIP) Makassar)

SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam
Vol. 2 No. 1 (2013): Volume 2 Nomor 1 (Maret 2013)

In this paper, presented two special classes of ring, they are Noetherian Ring and Artinian Ring. Starting from the existence of a commutative ring which have ideal (left ideal and right ideal). If these ideal meet the of raising chain condition (ascending chain condition/ACC) then a class will form known as Noetherian Ring and if that ideal meet the dropping chain condition (descending chain condition/DCC) thena class will form known as Artinian Ring.Furthermore, defenition is also presented and the example of Noetherian ring and Artinian Ring. Moreover,a theorem given which explain the circumstances of the ring divider in a Noetherian ring.