Year: 2024
Type: article
Abstract: In this work the concepts of $G$-part $G(X)$, atoms and strong atoms in $Q$-algebras are discussed. We provide some connections among $G(X)$, set of all atoms and set of all strong atom of $X$ which related to the concept of ideal. We prove that a $Q$-algebra $X$ does not contain a strong atom whenever it contains a non-zero ideal $G(X)$. In addition, we provide some conditions that make a set of all atom is an abelian group.
Institution: Mahasarakham University
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
Funder: Mahasarakham University
OpenAlex ID: W4403933993