Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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COMMUTATIVE ELLIPTIC OCTONIONS

  • Received : 2021.10.20
  • Accepted : 2022.04.05
  • Published : 2022.06.25
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Abstract

In this article, the matrix representation of commutative elliptic octonions and their properties are described. Firstly, definitions and theorems are given for the commutative elliptic octonion matrices using the elliptic quaternion matrices. Then the adjoint matrix, eigenvalue and eigenvector of the commutative elliptic octonions are investigated. Finally, α = -1 for the Gershgorin Theorem is proved using eigenvalue and eigenvector of the commutative elliptic octonion matrix.

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References

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