relation: https://digilib.uin-suka.ac.id/id/eprint/70733/
title: IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING
creator: Amara Novi Safitri, NIM.: 21106010007
subject: 510 Mathematics (Matematika)
description: 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
type: Thesis
type: NonPeerReviewed
format: text
language: id
identifier: https://digilib.uin-suka.ac.id/id/eprint/70733/1/21106010007_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
format: text
language: id
identifier: https://digilib.uin-suka.ac.id/id/eprint/70733/2/21106010007_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf
identifier:   Amara Novi Safitri, NIM.: 21106010007  (2025) IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.