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extension (Definition)

A short exact sequence $ 0\to A\to B\to C\to 0$ is sometimes called an extension of $ C$ by $ A$. This term is also applied to an object $ B$ which fits into such an exact sequence.



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Cross-references: exact sequence, object, short exact sequence
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This is version 1 of extension, born on 2003-08-15.
Object id is 4590, canonical name is Extension2.
Accessed 3516 times total.

Classification:
AMS MSC20E22 (Group theory and generalizations :: Structure and classification of infinite or finite groups :: Extensions, wreath products, and other compositions)

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