Near-ring semiprima dan N-grup semiprima

SANTOSO, Bambang Eko, Dr. Indah Emilia Wijayanti, M.Si

2008 | Tesis | S2 Matematika

Dalam tulisan ini dibahas ideal semiprima, near-ring semiprima, dan pendefinisian N-grup semiprima. Pendefinisian N-grup semiprima dimotivasi dari pendefinisian near-ring semiprima. Near-ring N disebut semiprima, jika {0} adalah ideal semiprima. Sedangkan N-grup kanan Γ disebut semiprima, jika N-ideal 0 simbol Γ adalah N-ideal semiprima. Selanjutnya diselidiki N-grup semiprima yang dikaitkan dengan annihilator dari N-idealnya yang merupakan ideal semiprima pada near-ring N.

We study semiprime ideals, semiprime near-rings and define semiprime N-groups. The definition of semiprime N-groups is motivated by the definition of semiprime near-rings. A near-ring N is called semiprime if {0} is semiprime ideal. A right N-group Γ is called semiprime, if N-ideal 0 simbol Γ is semiprime N-ideal. Then we investigate semiprime N-groups, that connected with annihilator from N-ideals, which is semiprime ideals in the near-ring N.

Kata Kunci : Near,ring,Near,ring semiprima,Near,grup semiprima,Near-ring, Semiprime near-ring, and Semiprime N-grup