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primary topic: IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING

IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING
type: Thesis
type: Article
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
status: published
author list: authors
type: EPrint
type: ThesisEPrint
is part of: repository
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subject: 510 Mathematics (Matematika)

IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING (Text)
type: Document
has file: 21106010007_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
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IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING (Text)
type: Document

UIN SUNAN KALIJAGA YOGYAKARTA
type: Organization

FAKULTAS SAINS DAN TEKNOLOGI, UIN SUNAN KALIJAGA YOGYAKARTA
type: Organization

NIM.: 21106010007 Amara Novi Safitri
type: Person
given name: NIM.: 21106010007
family name: Amara Novi Safitri

IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING (Other)
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IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING (Other)
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IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING (Other)
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IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING (Other)
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IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING (Other)
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primary topic: IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING

510 Mathematics (Matematika)
type: Concept