호남수학학술지 (Honam Mathematical Journal)

  • 제46권1호
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  • Pages.101-113
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  • 2024
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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HOMOTHETIC MOTIONS WITH GENERALIZED TRICOMPLEX NUMBERS

  • 투고 : 2023.05.27
  • 심사 : 2023.07.16
  • 발행 : 2024.03.20
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초록

In this paper, we define the generalized tricomplex numbers and give some algebraic properties of them. By using the matrix representation of generalized tricomplex numbers, we determine a motion on the hypersurface M in eight dimensional generalized linear space ℝ8αβγ and show that this is a homothetic motion. Also, for some special cases of the real numbers α, β and γ, we give some examples of homothetic motions in ℝ8 and ℝ84 and obtain some rotational matrices in these spaces, too.

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참고문헌

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