Equivalences for Weak Crossed Products

In this article, we give a criterion that characterizes equivalent weak crossed products. By duality, we obtain a similar result for weak crossed coproducts and, as a consequence, we find the conditions that assures the equivalence between two weak crossed biproducts. As an application, we show that...

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Bibliographic Details
Published in:Communications in algebra 2016-10, Vol.44 (10), p.4519-4545
Main Authors: Fernandez Vilaboa, JM, Gonzalez Rodriguez, R, Rodriguez Raposo, AB
Format: Article
Language:English
Subjects:
Algebra
Criteria
Equivalence
Equivalent crossed products
Monoidal category
Preunit
Reduction
Weak crossed product
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Summary:In this article, we give a criterion that characterizes equivalent weak crossed products. By duality, we obtain a similar result for weak crossed coproducts and, as a consequence, we find the conditions that assures the equivalence between two weak crossed biproducts. As an application, we show that the main results proved by Panaite in [ 12 ] (see also [ 11 ]), for Brzeziński's crossed products, admits a substantial reduction in the imposed conditions.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2015.1094484