BERBAGAI JENIS NEAR-RING DAN KETERKAITANNYA
Abstract: Let be a non empty
set with two binary operations, those are additive and multiplicative.
Triple is near-ring if is a group
structure toward additive operation, semigroup structure toward multiplicative
operation and statisfied right distributive law toward that both binary
operation. is said to be regular if for
every there exists such that . If is a group
is called a near field. Near ring
is said to be near ring if for
every there exists such that
and said to be near ring if for
every there exists such that . Futhermore, disscussed the
relation between near ring and near ring with regular near ring and near
field. Every near field are , near ring.
Every regular near ring is an near ring and if is weak commutative then is an
near ring.
Penulis: Pranadita Sitaresmi
Kode Jurnal: jpmatematikadd160299
