7 citations · 10 across the 9 of their papers we have counts for
9 papers · 1 filter
Martindale algebras of quotients of graded algebras
Hannes Bierwirth, Candido Martin Gonzalez, Juana Sanchez Ortega +1
The motivation for this paper has been to study the relation between the zero component of the maximal graded algebra of quotients and the maximal graded algebra of quotients of th…
The socle series of a Leavitt path algebra
Gene Abrams, Kulumani M. Rangaswamy, Mercedes Siles Molina
We investigate the ascending Loewy socle series of Leavitt path algebras for an arbitrary graph and field . We classify those graphs for which for…
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…