Equivalences for Weak Crossed Products
| Autor: | J. M. Fernández Vilaboa, A. B. Rodríguez Raposo, R. González Rodríguez |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Pure mathematics Algebra and Number Theory Reduction (recursion theory) 010102 general mathematics Monoidal category Coproduct Duality (optimization) 0102 computer and information sciences 01 natural sciences 010201 computation theory & mathematics Mathematics::Quantum Algebra 0101 mathematics Equivalence (measure theory) Mathematics |
| Zdroj: | Communications in Algebra. 44:4519-4545 |
| ISSN: | 1532-4125 0092-7872 |
| DOI: | 10.1080/00927872.2015.1094484 |
| Popis: | 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 Brzezinski's crossed products, admits a substantial reduction in the imposed conditions. |
| Databáze: | OpenAIRE |
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