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What are isomorphisms?

What are isomorphisms? Here are some definitions.

Noun
  1. plural of isomorphism
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Examples
Isomorphisms in the category of sup-algebras and their homomorphisms are precisely surjective homomorphisms that are order-embeddings.
Furthermore, in the case of Riesz bases we prove that those functions are isomorphisms.
Moreover, this paper is to derive some straightforward consequences of the relations between quotient SU-algebras and isomorphisms and also investigate some of its properties.
Lectures on Duflo isomorphisms in Lie algebra and complex geometry.

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