Listar por autor "Kanuni, Müge"
Mostrando ítems 1-5 de 5
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Basic ideals in evolution algebras
Cabrera-Casado, Yolanda
; Siles-Molina, Mercedes; Kanuni, Müge (Elsevier, 2019)
With the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n-dimensional perfect evolution algebra has a maximal basic ... -
Classification of leavitt path algebras with two vertices
Kanuni, Müge; Martín-Barquero, Dolores; Martín-González, Cándido; Siles-Molina, Mercedes (Independent University of Moscow, 2019-07)
We classify row-finite Leavitt path algebras associated to graphs with no more than two vertices. For the discussion we use the following invariants: decomposability, the K0 group, detpNE1 q (included in the Franks ... -
Largest ideals in Leavitt path algebras.
Cam, Vural; Gil-Canto, Cristóbal; Kanuni, Müge; Siles-Molina, Mercedes (Springer Nature, 2020-02-22)
We identify largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian without minimal idempotents, the largest exchange, ... -
Leavitt path algebras and the IBN property
(2016-12-21)A ring has invariant basis number property (IBN) if any two bases of a finitely generated free module have the same number of elements. In 1960's Leavitt constructed examples of rings R without IBN, more precisely for any ... -
On intersections of ideals of Leavitt path algebras
(2017-04-04)During the 2015 CIMPA Research School in Turkey on “Leavitt path algebras and graph C*-algebras”, Astrid an Huef raised the question whether the statement: For a given graph E, every (closed) ideal I of C*(E) is ...