Publication Date: 2023/03/17
Abstract: - An absolute valued algebra is a nonzero real algebra that is equipped with a multiplicative norm ||ab|| = ||a|| ||b||. We classify, by an algebraic method, all fourdimensional absolute valued algebras containing a nonzero central element and commutative sub-algebra of dimension two. Moreover, we give some conditions implying that these new algebras having sub-algebras of dimension two.
Keywords: Absolute Valued Algebra; Pre-Hilbert Algebra; Commutative Algebra; Central Element.
DOI: https://doi.org/10.5281/zenodo.7745592
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23MAR123.pdf
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