TY  - THES
N1  - Prof. Dr. Dra. Hj. Khurul Wardati, M.Si.
ID  - digilib70733
UR  - https://digilib.uin-suka.ac.id/id/eprint/70733/
A1  - Amara Novi Safitri, NIM.: 21106010007
Y1  - 2025/03/10/
N2  - 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.
PB  - UIN SUNAN KALIJAGA YOGYAKARTA
KW  - Near-Ring
KW  -  Gamma Near-Ring
KW  -  Ideal
KW  -  Ideal Maksimal
KW  -  Ideal Prima
M1  - skripsi
TI  - IDEAL MAKSIMAL DAN IDEAL PRIMA PADA GAMMA NEAR-RING
AV  - restricted
EP  - 144
ER  -