N-Grup prima

SALAM, Abdul, Dr. Indah Emilia Wijayanti, M.Si

2008 | Tesis | S2 Matematika

Di dalam tesis ini dipelajari tentang near-ring prima yang memotivasi pendefinisian N-grup prima. Suatu N-grup I' disebut prima jika {0} adalah N-ideal prima. Selanjunya akan disajikan beberapa sifat N-grup prima, di antarannya adalah I' adalah N-grup prima jika dan hanya jika untuk setiap N-ideal tidak nol mempunyai annihilator yang sama dengan annihilator I'. Dijelaskan juga keterkaitan N-grup prima dengan suatu near-ring faktor. Di akhir pembahasan dijelaskan keterkaitan near-ring prima dengan N-grup prima.

In this thesis, we study the prime near-ring, which motivates the notion of the prime N-groups. An N-group I' is called prime if {0} is a prime N-ideal. Furthermore, we will present some properties of a prime N-group. For examples, an N-group I' is prime if and only if every non zero N-ideal of I' has the same annihilator with annihilator of I' . We present also the relationship between a prime N-grup with a factor near-ring. Finally, we present also the relationship between a prime near-ring with a prime N-grup.

Kata Kunci : Ideal prima,Near,ring prima,N,ideal prima,N,grup prima,prime ideal,prime near-ring,prime N-ideal and prime N-group