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Open Access Research Article

Score for the complex terms in the partition (9,9,3)

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pp. 423–427Vol. 28Issue 2March 2025DOI: 10.47974/JDMSC-2051 Crossmark XML
Received:
14 May 2024
Published Online:
21 Mar 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2051
Pages:
423–427

Abstract

R has 1 and commutative ring, F is a free R-module and Di F be the divided power algebra of degree i. By applying capelli identities, diagrams and place polarization we prove that the sequence of the complex terms is complex for the partition (9,9,3). 

Keywords

Subject Classifications

13D07

References

[1] D.A. Buchsbaum, “A characteristic-free example of Lascoux resolution and letter place methods for intertwining numbers,” European Journal of Combinatorics, vol. 25, pp. 1169-1179 (2004).
[2] R.H. Haytham, “The reduction of resolution of Weyl module from characteristic-free resolution in case (4,4,3),” Ibn Al-Haitham J. for Pure & Appl. Sci., vol. 25, no. 3, pp. 341-355 (2012).
[3] L.R. Vermani, An elementary approach to homological algebra, Chapman and Hall/CRC, Monographs and Surveys in Pure and Applied Mathematics (2003).
[4] R.H. Haytham and S.J. Niran, “Application of Weyl module in the case of two rows,” J. Phys.: Conf. Ser., vol. 1003, p. 012051, pp. 1-15 (2018). https://doi.org/10.1088/1742-6596/1003/1/012051.
[5] S.N. Abd-Alridah and H.R. Hassan, “Complex of characteristic zero in the skew-shape (8,6,3)/(u,1) where u=1 and 2,” Iraqi Journal of Science, pp. 86-91 (2020). https://doi.org/10.24996/ijs.2020.SI.1.12.
[6] R.H. Haytham and S.J. Niran, “Weyl Module Resolution Res (6,6,4;0,0) in the Case of Characteristic Zero,” Iraqi Journal of Science, vol. 62, no. 4, pp. 1344-1348 (2021). https://doi.org/10.24996/ijs.2021.62.4.30.
[7] S.J. Niran, S.J. Sawsan, and I.A. Ahmed, “Enforcement for the partition (7,7,4;0,0),” Journal of Interdisciplinary Mathematics, vol. 24, no. 6, pp. 1669-1676 (2021). https://doi.org/10.1080/09720502.2021.1892272.
[8] R.H. Haytham and S.J. Niran, “Characteristic Zero Resolution of Weyl Module in the Case of the Partition (8,7,3),” IOP Conf. Series: Materials Science and Engineering, vol. 571, pp. 1-10 (2019). https://doi.org/10.1088/1757-899X/571/1/012039.
[9] N.A.S. Salem and N.S. Jasim, “Circularity Segmentation for The Groups PSL(2,23) and PSL(2,29),” 1st Samarra International Conference for Pure and Applied Sciences (SICPS2021) AIP Conf. Proc., vol. 2394, pp. 070032-1–070032-5 (2022). https://doi.org/10.1063/5.0121782.
[10] N.S. Alhuda, S.J. Niran, “Periodical split for the groups PSL(2,31) and PSL(2,37),” Journal of Discrete Mathematical Sciences and Cryptography, vol. 25, no. 2, pp. 605-608 (2022). https://doi.org/10.1080/09720529.2021.1982490.
[11] S.A. Sherouk and N.S. Jasim, “Calculation for the groups SL(2,U), U=31 and 37,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 25, no. 2, pp. 609-613 (2022). https://doi.org/10.1080/09720529.2021.1972614.
[12] S.A. Khalaf and N.S. Jasim, “Consequences for The Groups SL(2,U), U=23 and 29,” 1st Samarra International Conference for Pure and Applied Sciences (SICPS2021) AIP Conf. Proc., vol. 2394, pp. 070031-1–070031-7 (2022). https://doi.org/10.1063/5.0121781.
[13] Z.M. Alwan, “Lie group Method for Solving System of Stochastic Differential Equations,” Journal of Physics: Conference, vol. 1591, no. 1, p. 012063 (2020). https://doi.org/10.1088/1742-6596/1591/1/012063.
[14] M.I. Lfta and N.S. Jasim, “Computations for the groups SL(2,81) and SL(2,729),” Journal of Interdisciplinary Mathematics, vol. 26, no. 7, pp. 1373-1378 (2023). https://doi.org/10.47974/JIM-1553.
[15] G.A. Khalaf and N.S. Jasim, “Score for the groups SL(2,121) and SL(2,169),” Journal of Interdisciplinary Mathematics, vol. 26, no. 7, pp. 1385-1390 (2023). https://doi.org/10.47974/JIM-1555.
[16] M.S. Aldeen and N.S. Jasim, “Enforcement for the groups SL(2,125) and SL(2,3125),” Journal of Interdisciplinary Mathematics, vol. 26, no. 7, pp. 1379-1384 (2023). https://doi.org/10.47974/JIM-1554.
[17] E.S. Bhaya, E.A. Hessen, and A.H. Ibrahim, “Dunkl Weighted Approximation of Functions,” AIP Conference Proceedings, vol. 2845, p. 050034 (2023). https://doi.org/10.1063/5.0157181.
[18] L.A. Alameer, M.S. Fiadh, N.S. Jasim, and J.A. Eleiwy, “Applications for the groups S.U.T.(2,p), where p is a prime greater than 9,” Iraqi Journal for Computer Science and Mathematics, vol. 5, no. 1, pp. 78-84 (2024). https://doi.org/10.52866/ijcsm.2024.05.01.005.
[19] S.J. Niran, H.L. Hadeel, and N.M. Rana, “Computations for the special linear group (2,49),” Journal of Interdisciplinary Mathematics, vol. 24, no. 6, pp. 1677-1683 (2021). https://doi.org/10.1080/09720502.2021.1892273.
[20] S.J. Kadhum, A.I. Abdul-Nabi, and N.S. Jasim, “Compute some con-cepts in PG(3,8),” Journal of Discrete Mathematical Sciences and Cryptography, vol. 25, no. 2, pp. 599-604 (2022). https://doi.org/10.1080/097 20529.2021.1982489.

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