Open Access
Research Article·pp. 525–529·Vol. 28, Issue 2Mar 2025
Waleed Khalid Jaber, Niran Sabah Jasim
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2250 In this paper: The consideration of the complex of Lascoux for (11,10,3;1,1) by usage the divided power (d.p.) of the place polarization (p.p.)., diagrams (dig.) and Capelli identities. The kth d.p. of p.p. from pla...
Open Access
Research Article·pp. 611–615·Vol. 28, Issue 2Mar 2025
Waleed Khalid Jaber, Niran Sabah Jasim
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2279 In this paper: Many applications can be apply for the skew shape (11,10,3;1,1) in this search we emply the mapping Cone (map.Co.) to gain the sequence (sequ.) of the elements of the Weyl module (We.mo.) resolution (...
Open Access
Research Article·pp. 625–629·Vol. 28, Issue 2Mar 2025
Ban Hussein Ali, Niran Sabah Jasim
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2050 In this paper: The sequence of the complex terms in the state (9,6,3) is complex are proved in this work by using sketch, place polarization, Capelli identities and the injective of maps. In this work R is a commuta...
Open Access
Research Article·pp. 369–373·Vol. 28, Issue 2Mar 2025
Ban Hussein Ali, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2021 In this paper: R is a commutative ring has 1, F is a free R-module and Di F be the divided power algebra of degree i. For the two-rowed Weyl module (W.M.) the contracting homotopy and the exactness of the series of...
Open Access
Research Article·pp. 381–385·Vol. 28, Issue 2Mar 2025
Estbraq Fleeh Hassan, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2020 In this paper: By applying and proving that Si–1 ∂x + ∂x Si = idMi for i = 0, 1, 2, …, 8 are contracting homotopy by considered two-rowed Weyl module, also prove the exactness of the sequence of the terms of Weyl re...
Open Access
Research Article·pp. 409–413·Vol. 28, Issue 2Mar 2025
Abeer Hussein Ali, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2049 In this paper: The sequence of the elements of characteristic-free (Char.F.) Weyl resolution (We.Re.) for the case (9,8) is exact is the target of this treatise by prove that every definition maps are contracting ho...
Open Access
Research Article·pp. 423–427·Vol. 28, Issue 2Mar 2025
Estbraq Fleeh Hassan, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2051 In this paper: 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...
Open Access
Research Article·pp. 451–456·Vol. 28, Issue 2Mar 2025
Zainab Subhi Mustafa, Zahraa S.M. Alhaidary, Lemya Abd Alameer Hadi, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2061 In this paper: 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 sequen...
Open Access
Research Article·pp. 463–467·Vol. 28, Issue 2Mar 2025
Zainab Subhi Mustafa, Marwa Riyadh Saleh, Nibras Yasir Khudair, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2062 In this paper: The goal of this studied is to prove that the sequence terms of the Weyl resolution (Wey. Res.) of the characteristic-free (ch.fr.) resolution is exact in the status (8,8) with overlap (2,4) thus the...