Year: 2019
Type: conference-paper
Abstract: K-Algebra is a system that is built on a group with unit element ( G , *) and binary operation , that defined and satisfies certain axioms. Let and are K-Algebra. K-Homomorphism on K-Algebra that is a mapping from K 1 -Algebra to K 2 -Algebra that satisfies . Based on the result, K-Isomorphism on K-Algebra is µ that satisfies bijective function. By adopting a concept of isomorphism group, it has been proven that some concepts such as theorems and propositions also apply on K-Ismorphism on K-Algebra. If is K-Isomorphism, then also K-Isomorphism. Then, apply µ ( e 1 ) = e 2 , and and n ∈ Z + . Order of any element in K-Algebra that is positive integer n , so that g n = e .
Institutions: UIN Sunan Ampel Surabaya, Universitas PGRI Ronggolawe
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2944782800