Difference between revisions of "Morita equivalence"

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A Morita equivalence is an equivalence between [[algebra|algebras]]. Given a ring <math>R</math>, two <math>R</math>-algebras are defined to be Morita equivalent if their module categories are equivalent as <math>R</math>-linear categories.
 
A Morita equivalence is an equivalence between [[algebra|algebras]]. Given a ring <math>R</math>, two <math>R</math>-algebras are defined to be Morita equivalent if their module categories are equivalent as <math>R</math>-linear categories.
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[[Morita invariants|This page contains a list of invariants preserved under Morita equivalence]].

Latest revision as of 17:11, 3 January 2019

Under-construction.png

A Morita equivalence is an equivalence between algebras. Given a ring [math]R[/math], two [math]R[/math]-algebras are defined to be Morita equivalent if their module categories are equivalent as [math]R[/math]-linear categories.

This page contains a list of invariants preserved under Morita equivalence.