Relations between G-part and Atoms in Q-algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i4.5403Keywords:
$Q$-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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Copyright (c) 2024 Ananya Anantayasethi, Tanabat Kunawat, Panuwat Moonnipa
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