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arXiv · 2103.08276

Morita equivalence and Morita duality for rings with local units and subcategory of projective unitary modules

Ziba Fazelpour·Alireza Nasr-Isfahani
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Abstract

We study Morita equivalence and Morita duality for rings with local units. We extend the Auslander'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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Ziba Fazelpour, Alireza Nasr-Isfahani. 2021-03-15. Morita equivalence and Morita duality for rings with local units and subcategory of projective unitary modules. https://arxiv.org/abs/2103.08276

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