“School of Mathematics”
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| Paper IPM / M / 17649 |
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| Abstract: | |||||
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We study Morita equivalence and Morita duality for rings with local units.
We extend Auslanderâ??s results on the theory of Morita equivalence and the Azumaya-
Morita duality theorem to rings with local units. As a consequence, we give a version
of Morita theorem and Azumaya-Morita duality theorem over rings with local units in
terms of their full subcategory of finitely generated projective unitary modules and full
subcategory of finitely generated injective unitary modules.
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