Homomorphism

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English

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Etymology

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Pronunciation

Noun

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  1. Template:Senseid Template:Lb A structure-preserving Template:L between two algebraic structures of the same type, such as Template:L, Template:L, or vector spaces. Template:C
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    A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.
    • 1954, Kuo-Tsai Chen, Iterated Integrals and Exponential Homomorphisms, Proceedings of the London Mathematical Society, Reprinted in 2001, Philippe Tondeur (editor), Collected Papers of K.-T. Chen, Birkhäuser, page 54,
      This motivates a generalization, and exponential homomorphisms are now defined, in an algebraic fashion, from certain free products to formal power series rings with non-commutative indeterminates.
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  2. Template:Senseid Template:Lb A similar appearance of two unrelated organisms or structures, as for example with fish and whales.
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Hyponyms

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