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All Journal Jurnal Riset Mahasiswa Matematika
Ainur Isa, Rafi
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Mathematics

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Struktur Dan Sifat-sifat K-Aljabar Ainur Isa, Rafi; Alisah, Evawati
Jurnal Riset Mahasiswa Matematika Vol 3, No 4 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i4.27187

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.
Co-Authors Evawati Alisah