activity
20132020
most citedClassification of four dimensional perfect non-simple evolution algebras

2 citations · 2 across the 3 of their papers we have counts for

collaborators

7 papers

math.RA2020

The Singular Ideal and the Socle of Incidence Algebras

Muge Kanuni, Ozkay Ozkan

Let be a ring with identity and be the incidence algebra of a locally finite partially ordered set over In this paper, we compute the socle and the singular i…

math.RA2019

Largest ideals in Leavitt path algebras

Vural Cam, Cristóbal Gil Canto, Müge Kanuni +1

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 withou…

math.RA2018

A Survey on The Ideal Structure of Leavitt Path Algebras

Muge Kanuni, Suat Sert

There is an extensive recent literature on the graded, non-graded, prime, primitive, maximal ideals of Leavitt path algebras. In this introductory level survey, we will be giving a…

math.RA2018

On Prüfer-Like Properties of Leavitt Path Algebras

Songül Esin, Müge Kanuni, Ayten Koç +2

Prüfer domains and subclasses of integral domains such as Dedekind domains admit characterizations by means of the properties of their ideal lattices. Interestingly, a Leavitt path…

math.RA20182 cited

Classification of four dimensional perfect non-simple evolution algebras

Yolanda Cabrera Casado, Muge Kanuni, Mercedes Siles Molina

We classify the four dimensional perfect non-simple evolution algebras over a field having characteristic different from 2 and in which there are roots of orders 2, 3 and 7.

math.RA2017

Classification of Leavitt path algebras with two vertices

Müge Kanuni, Dolores Martín Barquero, Cándido Martín González +1

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 gro…