4 citations · 6 across the 5 of their papers we have counts for
5 papers
Relative Rota-Baxter operators, modules and projections
José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez
The present article is devoted to introduce, in a braided monoidal setting, the notion of module over a relative Rota-Baxter operator. It is proved that there exists an adjunction…
Fundamental theorems of Doi-Hopf modules in a nonassociative setting
J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez
In this paper we introduce the notion of weak non-asssociative Doi-Hopf module and give the Fundamental Theorem of Hopf modules in this setting. Also we prove that there exists a c…
Cohomology of algebras over weak Hopf algebras
J. N. Alonso Alvarez, J. M. Fernandez Vilaboa, R. Gonzalez Rodriguez
In this paper we present the Sweedler cohomology for a cocommutative weak Hopf algebra H. We show that the second cohomology group classifies completely the weak crossed products,…
The monoidal category of Yetter-Drinfeld modules over a weak braided Hopf algebra
J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez +1
In this paper we introduce the notion of weak operator and the theory of Yetter-Drinfeld modules over a weak braided Hopf algebra with invertible antipode in a strict monoidal cate…
Partial and unified crossed products are weak crossed products
J. M. Fernández Vilaboa, R. González Rodríguez, A. B. Rodríguez Raposo
In [J.M. Fernández Vilaboa, R. González Rodríguez and A.B. Rodríguez Raposo: Preunits and weak crossed products. J. of Pure Appl. Algebra 213, 2244-2261 (2009)] the notion of a wea…