activity
20132025
most citedCohn path algebras have Invariant Basis Number

12 citations · 27 across the 10 of their papers we have counts for

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12 papers

math.RA2025

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…

math.RA2024

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…

q-bio.PE2023

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.…

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★ 1 cited

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…