Cohomological Analysis of the Orlik-Solomon Algebra Associated with Graphs Free of 4-Cycles H^* (A_* (A_G ),a_1 -〖 a〗_t)

Authors

  • Numan Neamah Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq
  • Hana M. Ali Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq

DOI:

https://doi.org/10.32792/jeps.v16i1.754

Keywords:

Hyperplane arrangement, hypersolvable arrangement, Orlik-Solomon algebra, cohomology of the Orlik-Solomon algebra, graph theory, hypersolvable graph

Abstract

In this paper, the first non-vanishing cohomology of the Orlik-Solomon algebra, for a graph having no triangles was investigated where    l  is the number of edges in  a graph G. Particularly, the third cohomology of the Orlik-Solomon algebra did not vanish if  has chordless  -cycles that contain the edges  e1 and e2.

Downloads

Published

2026-03-01

Issue

Vol. 16 No. 1 (2026): JOURNAL OF EDUCATION FOR PURE SCIENCE

Section

Articles

License

Copyright (c) 2026 Journal of Education for Pure Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The Authors understand that, the copyright of the articles shall be assigned to Journal of education for Pure Science (JEPS), University of Thi-Qar as publisher of the journal.

Copyright encompasses exclusive rights to reproduce and deliver the article in all form and media, including reprints, photographs, microfilms and any other similar reproductions, as well as translations. The reproduction of any part of this journal, its storage in databases and its transmission by any form or media, such as electronic, electrostatic and mechanical copies, photocopies, recordings, magnetic media, etc. , will be allowed only with a written permission from Journal of education for Pure Science (JEPS), University of Thi-Qar.

Journal of education for Pure Science (JEPS), University of Thi-Qar, the Editors and the Advisory International Editorial Board make every effort to ensure that no wrong or misleading data, opinions or statements be published in the journal. In any way, the contents of the articles and advertisements published in the Journal of education for Pure Science (JEPS), University of Thi-Qar are sole and exclusive responsibility of their respective authors and advertisers.