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KCI등재 학술저널

CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA

CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA

DOI : 10.14403/jcms.2023.36.4.255

The purpose of this article is to construct a unital 8 dimensional hypercomplex number system H8∗ that is neither alternative nor commutative unlike the octonions by means of the unital 4 dimensional, commutative, and nonassociative hypercomplex number system H∗. We also establish some algebraic properties related to H∗8 and compare to those of octonions.

1. Introduction

2. Eight dimensional nonalternative, noncommutative algebra

3. Matrices in Mn×n(H∗8)

References

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