Direct Product of Q-algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6792Keywords:
Q-algebra, direct product, subalgebra, ideal, G-part, atom, CI-algebraAbstract
In this work, the direct product of Q-algebras is discussed. We investigate some properties of this direct product related to concepts of subalgebra, ideal, and G-part of Q-algebras. We obtain that the set G-part of the direct product of Q-algebras is an exactly the direct product of sets G-part of Q-algebras. We also provide the characterization of two elements subsets of the direct product of Q-algebras to be subalgebras. Moreover, we show the connection between the direct product of Q-algebras and CI-algebras.
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Copyright (c) 2025 Ananya Anantayasethi, Kittisak Sangsura, Napaporn Sarasit
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