3 citations · 5 across the 7 of their papers we have counts for
8 papers
Persistent Combinatorial Model of the Restricted Second Configuration Space of Metric Star Graphs
Wenwen Li, Murad Ozaydin
In this work, we present explicit constructions and computations of representative cycles for a nontrivial 2-parameter persistence module arising from the configuration space of me…
Notes on Pointwise Finite-Dimensional -Parameter Persistence Modules
Wenwen Li, Murad Ozaydin
In this paper, we study pointwise finite-dimensional (p.f.d.) -parameter persistence modules where each module admits a finite convex isotopy subdivision. We show that a p.f.d.…
Leavitt Path Algebras with Coefficients in a Commutative Unital Ring
Ayten Koç, Murad Özaydın
In addition to extending some facts from field coefficients to commutative ring coefficients for Leavitt path algebras with new shorter proofs, we also prove some results that are…
Classification of Leavitt Path Algebras with Gelfand-Kirillov Dimension <4 up to Morita Equivalence
Ayten Koç, Murad Özaydın
Leavitt path algebras are associated to di(rected )graphs and there is a combinatorial procedure (the reduction algorithm) making the digraph smaller while preserving the Morita ty…
Finite Dimensional Representations of Leavitt Path Algebras
Ayten Koç, Murad Özaydın
When is a row-finite di(rected )graph we classify all finite dimensional modules of the Leavitt path algebra via an explicit Morita equivalence given by an effective com…
Gravitational Frames and Scalar Field Dynamics
M. T. Ozaydin, N. Pirinccioglu
Scalar fields describe interesting phenomena such as Higgs bosons, dark matter and dark energy, and are found to be quite common in physical theories. These fields are susceptible…