Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA

  • Received : 2023.08.16
  • Accepted : 2023.10.30
  • Published : 2023.11.30
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Abstract

The purpose of this article is to construct a unital 8 dimensional hypercomplex number system H*8 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.

Keywords

Acknowledgement

The present research has been conducted by the Research Grant of Kwangwoon University in 2023.

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