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Chain conditions for Leavitt path algebras

- G. Abrams, G. Pino, F. Perera, Mercedes Siles Molina
- Mathematics
- 2009

Abstract In this paper we give necessary and sufficient conditions on a row-finite graph E so that the corresponding (not necessarily unital) Leavitt path K-algebra LK (E) is either artinian or… Expand

Algebras of quotients of Lie algebras

- Mercedes Siles Molina
- Mathematics
- 1 April 2004

In this paper we introduce the notion of algebra of quotients of a Lie algebra. Properties such as semiprimeness, primeness or nondegeneracy can be lifted from a Lie algebra to its algebras of… Expand

Evolution algebras of arbitrary dimension and their decompositions

- Yolanda Cabrera Casado, Mercedes Siles Molina, M. V. Velasco
- Mathematics
- 8 January 2016

We study evolution algebras of arbitrary dimension. We analyze in deep the notions of evolution subalgebras, ideals and non-degeneracy and describe the ideals generated by one element and… Expand

The socle of a Leavitt path algebra

- G. Pino, D. M. Barquero, C. M. González, Mercedes Siles Molina
- Mathematics
- 23 January 2007

In this paper we characterize the minimal left ideals of a Leavitt path algebra as those which are isomorphic to principal left ideals generated by line points; that is, by vertices whose trees… Expand

Left Quotient Associative Pairs and Morita Invariant Properties

- M. Lozano, Mercedes Siles Molina
- Mathematics
- 31 December 2004

In this paper, we prove that left nonsingularity and left nonsingularity plus finite left local Goldie dimension are two Morita invariant properties for idempotent rings without total left or right… Expand

Long-term follow-up of asymptomatic HIV-infected patients who discontinued antiretroviral therapy.

- M. F. Fernández Guerrero, P. Rivas, Mercedes Siles Molina, Rosa García, M. de Górgolas
- Medicine
- Clinical infectious diseases : an official…
- 1 August 2005

BACKGROUND
Whether asymptomatic human immunodeficiency virus (HIV)-infected patients can interrupt treatment remains unknown.
METHODS
We performed a prospective, observational study of 46 patients… Expand

Finite-dimensional Leavitt path algebras

- G. Abrams, G. Pino, Mercedes Siles Molina
- Mathematics
- 1 June 2007

Abstract We classify the directed graphs E for which the Leavitt path algebra L ( E ) is finite dimensional. In our main results we provide two distinct classes of connected graphs from which, modulo… Expand

Socle theory for Leavitt path algebras of arbitrary graphs

- G. Pino, D. M. Barquero, C. M. González, Mercedes Siles Molina
- Mathematics
- 8 February 2008

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 Morita invariant… Expand

Graph C∗-Algebras, and Their Relationship to Leavitt Path Algebras

- G. Abrams, P. Ara, Mercedes Siles Molina
- Mathematics
- 2017

In this chapter we investigate the connections between Leavitt path algebras (with coefficients in \(\mathbb{C}\)), and their analytic counterparts, the graph C ∗-algebras. We start by giving a brief… Expand

Associative and Lie algebras of quotients

- F. Perera, Mercedes Siles Molina
- Mathematics
- 22 September 2005

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 completely characterize… Expand

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