학술저널
CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA
CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 36, No. 4
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2023.11255 - 265 (11 pages)
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DOI : 10.14403/jcms.2023.36.4.255
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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)
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