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Year 2024, Volume: 28, 62 - 72, 01.08.2024
https://doi.org/10.55549/epstem.1519169

Abstract

References

  • Chehade, H., Awad, Y., & Zeid, W. (2024). On lcem matrices over unique factorization domains. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 62-72.

On Lcem Matrices Over Unique Factorization Domains

Year 2024, Volume: 28, 62 - 72, 01.08.2024
https://doi.org/10.55549/epstem.1519169

Abstract

In this paper, we extend the concept of lcem matrices beyond the classical domain of natural integers into the domain of unique factorization domains. We investigate the structure of these matrix types when applied to both arbitrary sets and gced-closed sets. Furthermore, we find the determinant, the trace and the inverse of such matrices. To simplify these ideas, we employ domains such as the Gaussian integers domain and the domain of polynomials defined over finite fields.

References

  • Chehade, H., Awad, Y., & Zeid, W. (2024). On lcem matrices over unique factorization domains. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 28, 62-72.
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Details

Primary Language English
Subjects Software Engineering (Other)
Journal Section Articles
Authors

Haissam Chehade

Yahia Awad

Wiam Zeid

Early Pub Date July 20, 2024
Publication Date August 1, 2024
Submission Date January 15, 2024
Acceptance Date April 8, 2024
Published in Issue Year 2024Volume: 28

Cite

APA Chehade, H., Awad, Y., & Zeid, W. (2024). On Lcem Matrices Over Unique Factorization Domains. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 28, 62-72. https://doi.org/10.55549/epstem.1519169