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

Vol. 17 No. 4: (October 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 Ananya Anantayasethi, Tanabat Kunawat, Panuwat Moonnipa

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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