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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.
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참고문헌 신청
A. A. Bogush / 1998 / Cayley-Dickson procedure, relativistic wave equations and supersymmetric oscillators / Acta Applicandae Mathematicae 50(1/2):121~129
C. Flaut / 2014 / About some properties of algebras obtained by the Cayley-Dickson process / Palest. J. Math 3(Special issue):388~394
Cristina Flaut / 2013 / Some Identities in Algebras Obtained by the Cayley-Dickson Process / Advances in Applied Clifford Algebras 23(1):63~76
C. H. Yang / 1983 / Lagrange Identity for Polynomials and δ-Codes of Lengths 7t and 13t / Proceedings of the American Mathematical Society 88(4):746~750
C. Flaut / 2014 / About some properties of algebras obtained by the Cayley-Dickson process / Palest. J. Math 3(Special issue):388~394
Cristina Flaut / 2013 / Some Identities in Algebras Obtained by the Cayley-Dickson Process / Advances in Applied Clifford Algebras 23(1):63~76
C. H. Yang / 1983 / Lagrange Identity for Polynomials and δ-Codes of Lengths 7t and 13t / Proceedings of the American Mathematical Society 88(4):746~750
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