19 citations · 36 across the 6 of their papers we have counts for
8 papers
Galois correspondence for group-type partial actions of groupoids
Dirceu Bagio, Alveri Sant'Ana, Thaísa Tamusiunas
Let be a finite groupoid and a unital partial action of group-type of on a commutative ring $S=\oplus_{y…
Panov's theorem for weak Hopf algebras
Christian Lomp, Alveri Sant'Ana, Ricardo Leite dos Santos
Panov proved necessary and sufficient conditions to extend the Hopf algebra structure of an algebra to an Ore extension with being a skew-primitive element. In t…
On cyclic essential extensions of simple modules over differential operator rings
Alveri Sant'Ana, Robson Vinciguerra
In this paper we discuss under which conditions cyclic essential extensions of simple modules over a differential operator ring R[z;d] are Artinian. In particular, we study the cas…
Inner Actions of Weak Hopf Algebras
Dirceu Bagio, Daiana Flôres, Alveri Sant'Ana
Let be an associative ring and idempotent elements of . In this paper we introduce the notion of -invertibility for an element of and use it to define inner…
On the semiprimitivity and the semiprimality problems for partial smash products
Rafael Cavalheiro, Alveri Sant'Ana
In this paper we discuss about the semiprimitivity and the semiprimality of partial smash products. Let be a semisimple Hopf algebra over a field and let be a…
Partial bi(co)module algebras, globalizations, and partial (L,R)-smash products
Felipe Castro, Antonio Paques, Glauber Quadros +1
In this paper we introduce the notions of partial bimodule algebra and partial bico- module algebra. We also deal with the existence of globalizations for these structures, general…