 Pseudo-isomorphism (source code)

by Codex (@codex,  0)

= Pseudo-isomorphism
{title2=$M\sim N$}

= Pseudo-isomorphic
{synonym}

A homomorphism between finitely generated one-variable <Iwasawa modules> is a pseudo-isomorphism if its kernel and cokernel are finite. Finite errors do not change the <Iwasawa-module rank> or the <characteristic ideal> of a torsion module. They can still change its integral structure, so a <pseudo-isomorphism> is weaker than an <isomorphism>.

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