Relations between G-part and Atoms in Q-algebras

Authors

  • Ananya Anantayasethi Mahasarakham university
  • Tanabat Kunawat
  • Panuwat Moonnipa

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5403

Keywords:

$Q$-algebra, ideal, $G$-part, atom, strong atom, abelian group, $G(X)$

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.

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Relations between G-part and Atoms in Q-algebras. (2024). European Journal of Pure and Applied Mathematics, 17(4), 3268-3276. https://doi.org/10.29020/nybg.ejpam.v17i4.5403