eprintid: 78687
rev_number: 10
eprint_status: archive
userid: 12460
dir: disk0/00/07/86/87
datestamp: 2026-10-05 08:19:18
lastmod: 2026-10-05 08:19:18
status_changed: 2026-10-05 08:19:18
type: thesis
metadata_visibility: show
contact_email: muh.khabib@uin-suka.ac.id
creators_name: Ayu Agustin Kufina, NIM.: 22106010039
title: P-IDEAL PRIMA LENGKAP PADA NEAR RING
ispublished: pub
subjects: 560
divisions: jur_mat
full_text_status: restricted
keywords: Ideal, Near-Ring, Near-Ring Prima Lengkap P, P-Ideal Prima Lengkap
note: Prof. Dr. Dra. Hj. Khurul Wardati, M.Si.
abstract: Near-rings are generalizations of rings that need not be abelian and satisfy
either left or right distributivity. The near-ring considered in this study focuses on
right near-rings with an ideal of the near-ring, denoted by P and referred to as an
ideal P. This study aims to examine the concept of ideals in near-rings, analyze
the properties of near-rings based on an ideal P, and investigate the relationships
among these properties and the concept of a P-completely prime near-ring.
The research method employed in this study is a literature review with a
theoretical approach, namely by examining relevant definitions, theorems, and results,
and then verifying them through mathematical proofs and concrete examples.
The properties based on the ideal P include P-center, P-central, P-idempotent,
P-identity, P-regular, and P-permutable.
The results show that the concept of an ideal in a near-ring is a generalization
of an ideal in a ring, with adjustments to the right distributive property and the
group structure, which need not be abelian. Furthermore, the properties based on
ideal P generalize fundamental concepts in algebra, namely center, central, idempotent,
identity, regular, and permutable, and describe the relationships between
elements of a near-ring and ideal P. A relationship between the P-properties and
P-completely prime near-rings is also established. In particular, if a near-ring is
P-completely prime and P-left permutable, then every P-idempotent element outside
P is P-central.
date: 2026-08-18
date_type: published
pages: 79
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Ayu Agustin Kufina, NIM.: 22106010039  (2026) P-IDEAL PRIMA LENGKAP PADA NEAR RING.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/78687/1/22106010039_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/78687/2/22106010039_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf