Authors :
Abdelhadi Moutassim
Volume/Issue :
Volume 8 - 2023, Issue 3 - March
Google Scholar :
https://bit.ly/3TmGbDi
Scribd :
https://bit.ly/3ZUjsBb
DOI :
https://doi.org/10.5281/zenodo.7745592
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.
- 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.