Jurnal Riset Mahasiswa Matematika
Vol 3, No 4 (2024): Jurnal Riset Mahasiswa Matematika

Struktur Dan Sifat-sifat K-Aljabar

Ainur Isa, Rafi (Unknown)
Alisah, Evawati (Unknown)



Article Info

Publish Date
01 Apr 2024

Abstract

K-Algebra is constructed on a group using binary operations ⊙ on (G,*), so for each x,y∈G defined as x⊙y=x*y^(-1)=xy^(-1) with certain axioms on K-Algebra. K-Group summation is defined as the elements of K that operate summation in K, similar to addition in K itself. Meanwhile, the K-Ring has two basic operations, namely addition and multiplication, both of which must satisfy certain properties and use the K-Field as a scalar field. Finally, the K-Field is described as a special K-Algebra structure in which the multiplication operation is distributive to the addition operation. This research contributes to a deeper understanding of structures and operations in K-Algebra. The next research is that K-Algebra can be applied in sets meaning that it can be applied to sets of numbers, dihedral, and modulo or congruence, which are equipped with theorems, proofs, and examples.

Copyrights © 2024






Journal Info

Abbrev

jrmm

Publisher

Subject

Mathematics

Description

Jurnal Riset Mahasiswa Matematika (JRMM) publishes current research articles in any area of Mathematics Research such as graph labelings, modeling, statistics, actuaria, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. JRMM is published six ...