Journal Articles

2026
- The graded Betti numbers of the skeletons of simplicial complexes
Mohammed Rafiq Namiq
Indagationes Mathematicae, 2026.
DOI: 10.1016/j.indag.2026.03.006.

- Initially Cohen–Macaulay Modules

Mohammed Rafiq Namiq

New Mathematics and Natural Computation, 2026.
DOI: 10.1142/S1793005728500226.

2023

• The graded Betti numbers of truncation of ideals in polynomial rings
  Chwas Ahmed, Ralf Fröberg, Mohammed Rafiq Namiq
  Journal of Algebraic Combinatorics 57 (2023), 1303–1312.
  DOI: 10.1007/s10801-023-01230-w. 

2018

• A new cryptosystem for encryption and decryption using elliptic curves in cryptography over finite fields
  Mohammed Rafiq Namiq, Wrya K. Kadir, Aram M. Ahmed
  Journal of Theoretical and Applied Information Technology 96(1) (2018), 182–188.
  
  

2017

• A new text encryption technique on elliptic curve cryptography
  Wrya K. Kadir, Omed H. Ahmed, Mohammed Rafiq Namiq
  Journal of Engineering and Applied Sciences 12(13) (2017), 3329–3333.
  DOI: 10.3923/jeasci.2017.3329.3333.

Preprints

2026

• Regularity of Symbolic Powers of Co-Chordal Edge Ideals
  Chwas Ahmed, Mohammed Rafiq Namiq
  arXiv:2608.20542

• A Complete Classification of 2-Linear Neighborhood Complexes

Mohammed Rafiq Namiq

arXiv:2606.03573

• Explicit Betti Numbers for Skeletons of Chordal Clique Complexes and Their Alexander Duals

Mohammed Rafiq Namiq

arXiv:2603.17776

• Vertex Dismissibility and Scalability of Simplicial Complexes

Mohammed Rafiq Namiq

arXiv:2603.10736

2022

• Sequentially Cohen–Macaulay Co-Chordal Graphs: Structure and Projective Dimension

Chwas Ahmed, Amir Mafi, Mohammed Rafiq Namiq

arXiv:2205.07059

• Quasi-forest simplicial complexes and almost Cohen–Macaulay
  Chwas Ahmed, Amir Mafi, Mohammed Rafiq Namiq
  arXiv:2206.03704