On Four-Dimensional Absolute Valued Algebras Containing a Nonzero Central Element


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.

Video Explanation for Published paper

Never miss an update from Papermashup

Get notified about the latest tutorials and downloads.

Subscribe by Email

Get alerts directly into your inbox after each post and stay updated.
Subscribe
OR

Subscribe by RSS

Add our RSS to your feedreader to get regular updates from us.
Subscribe