Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A RELATIONSHIP BETWEEN CAYLEY-DICKSON PROCESS AND THE GENERALIZED STUDY DETERMINANT

  • Putri, Pritta Etriana (Combinatorial Mathematics Research Group Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung) ;
  • Wijaya, Laurence Petrus (Department of Mathematics Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung)
  • Received : 2020.07.23
  • Accepted : 2020.12.22
  • Published : 2021.07.31
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Abstract

The Study determinant is known as one of replacements for the determinant of matrices with entries in a noncommutative ring. In this paper, we give a generalization of the Study determinant and show its relationship with the Cayley-Dickson process. We also give some properties of a non-associative ring obtained by the Cayley-Dickson process with a not necessarily commutative, but associative ring as the initial ring.

Keywords

Acknowledgement

This work was full financially supported by Riset P3MI ITB 541O/I1.C01/PL/2020.

References

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