TY - JOUR
AU - Anwar, Aidah Nabilah
AU - Amir, Amir Kamal
AU - Hinding, Nurdin
PY - 2023/01/05
Y2 - 2024/09/15
TI - The Construction of Armendariz Ring using Formal Triangle Matrix Ring
JF - Jurnal Matematika, Statistika dan Komputasi
JA - JMSK
VL - 19
IS - 2
SE -
DO - 10.20956/j.v19i2.23263
UR - https://journal.unhas.ac.id/index.php/jmsk/article/view/23263
SP - 304-316
AB - <p>Trinion and Quaternion numbers are one of the <em>hypercomplex</em> numbers which is an extensions of the <em>complex</em> number. From Trinion and Quaternion numbers, a bimodule can be formed which is an ordered pair of Trinion and Quaternion. Furthermore, Trinion number, Quaternion number, and their bimodule can be formed into a Formal Triangle Matrix. The Formal Triangle Matrix is better known as the Upper Triangle Matrix. Since Trinion number, Quaternion number and their bimodule are rings, then the Formal Triangle Matrix can be called as the Formal Triangular Matrix Ring. The purpose of this study is to construct the Armendariz Ring using the Formal Triangular Matrix Ring. The obtained results will show that the Formal Triangular Matrix Rings are the -Skew Armendariz Ring and the -Skew -Armendariz Ring, where is a Ring Endomorphism and is -derivation.</p>
ER -