충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제36권4호
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  • Pages.255-265
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  • 2023
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA

  • 투고 : 2023.08.16
  • 심사 : 2023.10.30
  • 발행 : 2023.11.30
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초록

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.

키워드

과제정보

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

참고문헌

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