TY  - JOUR
T1  - On Lcem Matrices Over Unique Factorization Domains
AU  - Chehade, Haissam
AU  - Awad, Yahia
AU  - Zeid, Wiam
PY  - 2024
DA  - August
Y2  - 2024
DO  - 10.55549/epstem.1519169
JF  - The Eurasia Proceedings of Science Technology Engineering and Mathematics
JO  - EPSTEM
PB  - ISRES Publishing
WT  - DergiPark
SN  - 2602-3199
SP  - 62
EP  - 72
VL  - 28
LA  - en
AB  - 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.
KW  - Lcem matrices
KW  - Exponential divisor
KW  - Unique factorization domain
CR  - 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.
UR  - https://doi.org/10.55549/epstem.1519169
L1  - https://dergipark.org.tr/en/download/article-file/4083417
ER  -