Height (abelian group)
id:
height-abelian-group-197-11815082
title:
Height (abelian group)
text:
In mathematics, the height of an element g of an abelian group A is an invariant that captures its divisibility properties: it is the largest natural number N such that the equation Nx = g has a solution x ∈ A, or the symbol ∞ if there is no such N. The p-height considers only divisibility properties by the powers of a fixed prime number p. The notion of height admits a refinement so that the p-height becomes an ordinal number. Height plays an important role in Prüfer theorems and also in Ulm's
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wiki
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original url:
https://en.wikipedia.org/wiki/Height_(abelian_group)
date created:
date modified:
2024-01-23T20:07:10Z
main entity:
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13
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