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Identities

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Algebra II

Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 18))

Abstract

In keeping with a philosophical definition, identity is an equality of an object, ‘oneness’ of it with itself; it is the preservation, in all aspects of the object’s existence, of the same permanent characteristics. Formal translation of this definition into mathematical terms leads to a disappointing conclusion: an identity is an expression of the form a = a.

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Authors
  1. Yu. A. Bakhturin
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  2. A. Yu. Ol’shanskij
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  1. Steklov Mathematical Institute, ul. Vavilova 42, 117966, Moscow, USSR

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Bakhturin, Y.A., Ol’shanskij, A.Y. (1991). Identities. In: Kostrikin, A.I., Shafarevich, I.R. (eds) Algebra II. Encyclopaedia of Mathematical Sciences, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72899-0_2

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