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1936•Transactions of the American Mathematical SocietyOpen access

On ideals in a quaternion algebra and the representation of integers by Hermitian forms

Claiborne G. Latimer

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Abstract

The statement "there is a one-to-one correspondence • • ■ " in lines 8, 9, p. 442, Tr. is false.There is a correspondence but it is not one-to-one.For if the transformation (8) of Tr. is an automorph of/, then/ corresponds to the bases an, on and fi, ft.This error does not affect the validity of any subsequent proof or theorem.

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The statement "there is a one-to-one correspondence • • ■ " in lines 8, 9, p. 442, Tr. is false.There is a correspondence but it is not one-to-one.For if the transformation (8) of Tr. is an automorph of/, then/ corresponds to the bases an, on and fi, ft.This error does not affect the validity of any subsequent proof or theorem.

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Available abstract

The statement "there is a one-to-one correspondence • • ■ " in lines 8, 9, p. 442, Tr. is false.There is a correspondence but it is not one-to-one.For if the transformation (8) of Tr. is an automorph of/, then/ corresponds to the bases an, on and fi, ft.This error does not affect the validity of any subsequent proof or theorem.

Key concepts: Mathematics, Quaternion, Hermitian matrix, Algebra over a field, Representation (politics), Pure mathematics, Quaternion algebra, Algebra representation

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