Kajian Teori Ideal Perluasan Subtraktif Pada Semiring Ternari

Nur - Qomariah, Dian Winda Setyawati
Submission Date: 2017-01-16 14:20:40
Accepted Date: 2017-03-17 10:28:10

Abstract


Pembahasan mengenai teori ideal terus berkembang, salah satunya adalah teori ideal pada semiring ternari. Pada jurnal ini, dikaji mengenai karakteristik ideal-ideal pada semiring ternari Z_0^-×Z_0^- yaitu ideal utama, Q-ideal, ideal subtraktif, dan ideal perluasan subtraktif. Bentuk-bentuk ideal tersebut memiliki hubungan dengan bentuk-bentuk ideal pada semiring Z_0^+×Z_0^+. Selanjutnya dengan menggunakan keterkaitan antara ideal perluasan subtraktif dengan Q-ideal, maka juga dikaji mengenai ideal perluasan subtraktif terkecil pada semiring ternari. Selain itu, juga dikaji mengenai ideal prima pada semiring ternari terhadap semiring ternari faktor.

Keywords


ideal perluasan subtraktif, ideal prima, semiring ternari, semiring ternari faktor

References


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