12 citations · 27 across the 10 of their papers we have counts for
12 papers
Grothendieck group of the Leavitt path algebra over power graphs of prime-power cyclic groups
Aslı Güçlükan İlhan, Müge Kanuni, Ekrem Şimşek
In this paper, the Grothendieck group of the Leavitt path algebra over the power graphs of all prime-power cyclic groups is studied by using a well-known computation from linear al…
Quotients of Leavitt path algebras over rings by -basic graded ideals
Sevgi Harman, Müge Kanuni, Guillermo Vera de Salas
In this paper, the quotient of a Leavitt path algebra of an arbitrary graph by an -basic graded ideal, and the quotient of a Leavitt path algebra of a row-finite graph by an arb…
An Algebraic Discussion of Bisexual Populations with Wolbachia Infection I: Discrete Dynamical System Approach
Barış Özdinç, Songül Esin, Müge Kanuni
This is the first paper in the sequel studying the Wolbachia-infection in bisexual populations. This paper considers the behavior of the population as a discrete dynamical system.…
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…
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…
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…
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…
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.
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…
On intersections of two-sided ideals of Leavitt path algebras
Songül Esin, Müge Kanuni, K. M. Rangaswamy
Let be an arbitrary directed graph and let be the Leavitt path algebra of the graph over a field . It is shown that every ideal of is an intersection of primitiv…
Cohn path algebras have Invariant Basis Number
Gene Abrams, Müge Kanuni
For any finite directed graph and any field we show that the Cohn path algebra has the Invariant Basis Number property.
The Weak Finitistic Dimension of a Path Algebra is Finite
Muge Kanuni, Atabey Kaygun
We prove a version of Bass' finitistic dimension conjecture for path algebras over arbitrary directed graphs. It is known that the path algebra of a finite directed graph is heredi…