1 citations · 1 across the 2 of their papers we have counts for
7 papers
Non-simple purely infinite rings
Gonzalo Aranda Pino, Ken Goodearl, Francesc Perera +1
In this paper we introduce the concept of purely infinite rings, which in the simple case agrees with the already existing notion of pure infiniteness. We establish various permane…
Strongly nondegenerate Lie algebras
Francesc Perera, Mercedes Siles Molina
Let be a semiprime 2 and 3-torsion free non-commutative associative algebra. We show that the Lie algebra $\der(A)$ of (associative) derivations of is strongly non-degenera…
Socle theory for Leavitt path algebras of arbitrary graphs
Gonzalo Aranda Pino, Dolores Martin Barquero, Candido Martin Gonzalez +1
The main aim of the paper is to give a socle theory for Leavitt path algebras of arbitrary graphs. We use both the desingularization process and combinatorial methods to study Mori…
The socle of a Leavitt path algebra
Gonzalo Aranda Pino, Dolores Martin Barquero, Candido Martin Gonzalez +1
In this paper we characterize the minimal left ideals of a Leavitt path algebra as those ones which are isomorphic to principal left ideals generated by line point vertices, that i…
Algebras of quotients of path algebras
Mercedes Siles Molina
Leavitt path algebras are shown to be algebras of right quotients of their corresponding path algebras. Using this fact we obtain maximal algebras of right quotients from those (Le…
Associative and Lie algebras of quotients
Francesc Perera, Mercedes Siles Molina
In this paper we examine how the notion of algebra of quotients for Lie algebras ties up with the corresponding well-known concept in the associative case. Specifically, we complet…