Groupoid actions on sets, duality and a morita context

نویسندگان

چکیده

Let G and K be groupoids. We present the notion of a (Gα,Kβ)-set we prove duality theorem in this context, which extends for graded algebras by groups. For A unital G-graded algebra X finite split G-set, show that there is an isomorphism between category X-graded left A-modules A#αGX-modules. As application isomorphism, construct Morita context.

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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2022

ISSN: ['1532-4125', '0092-7872']

DOI: https://doi.org/10.1080/00927872.2022.2095395