journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2061 The complexness of the sequence in the status (10, 10, 3, 2, 2) Mustafa Zainab Subhi Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, 10071, Iraq Alhaidary Zahraa S.M. Department of Applied Sciences, Branch of Mathematics and Computer Applications, University of Technology, Baghdad, 10066, Iraq Hadi Lemya Abd Alameer Department of Communication Engineering, University of Technology, Baghdad, 10066, Iraq Jasim Niran Sabah Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, 10071, Iraq 28 2 451 456 21 03 2025

Everywhere in this paper R has 1 and a commutative ring, F is a free R-module and DiF is the divided power (di.po.) algebra of degree i. The goal of this study is to find the complexness of the sequence of the elements of Lascoux (La.) in the status (10,10,3;2,2) by employing Capelli identities (Ca.id.), the commute of the schemes and the place polarization (p.po.).

 Capelli identities Polarization Complex of characteristic zero Lascoux resolution access open retracted no