eprintid: 70733
rev_number: 10
eprint_status: archive
userid: 12460
dir: disk0/00/07/07/33
datestamp: 2025-04-11 02:41:29
lastmod: 2025-04-11 02:41:29
status_changed: 2025-04-11 02:41:29
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Amara Novi Safitri, NIM.: 21106010007
title: IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING
ispublished: pub
subjects: 560
divisions: jur_mat
full_text_status: restricted
keywords: Near-Ring, Gamma Near-Ring, Ideal, Ideal Maksimal, Ideal Prima
note: Prof. Dr. Dra. Hj. Khurul Wardati, M.Si.
abstract: Gamma near-ring is a generalization of near-ring and gamma-ring. The
structure of a gamma near-ring is an additive group that is not necessarily commutative
with the multiplication operation being a triple mapping to a nonempty set
that satisfies right distributive and associative properties. A right distributive nearring
that satisfies the associative property on triple mappings is a gamma near-ring
with gamma being the multiplication operation on the near-ring. The subset of a
gamma near-ring is said to be ideal if and only if the subset is ideal on the nearring.
The ideal of a near-ring depends on a constant near-ring, which motivates the
emergence of a constant gamma near-ring which is related to the ideal of a gamma
near-ring. The concept of constant near-ring gamma motivates the emergence of
zero symmetric near-ring gamma. The ideal on the gamma near-ring has an analogous
definition to the ideal on the near-ring but the multiplication operation is a
triple mapping. Consequently, the definitions of maximal ideal and prime ideal on
gamma near-ring are defined similarly to maximal ideal and prime ideal on nearring.
The relationship between maximal ideals and prime ideals in rings also holds
when viewed as a gamma near-ring. Every maximal ideal of a gamma near-ring
with unit element is a prime ideal.
date: 2025-03-10
date_type: published
pages: 144
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Amara Novi Safitri, NIM.: 21106010007  (2025) IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/70733/1/21106010007_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/70733/2/21106010007_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf