Difference between revisions of "Morita equivalence"
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| − | 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. | + | 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. |
Revision as of 14:01, 16 August 2018
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.
