<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-discrete-mathematical-sciences-and-cryptography</journal-id>
      <journal-title-group>
        <journal-title>Journal of Discrete Mathematical Sciences and Cryptography</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0065</issn>
      <issn publication-format="print">0972-0529</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JDMSC-2050</article-id>
      <title-group>
        <article-title>The sequence of the complex terms in the state (9,6,3)</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Ali</surname>
            <given-names>Ban Hussein</given-names>
          </name>
          <aff>Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, 10071, Iraq</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Jasim</surname>
            <given-names>Niran  Sabah</given-names>
          </name>
          <aff>Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, 10071, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>28</volume>
      <issue>2</issue>
      <fpage>625</fpage>
      <lpage>629</lpage>
      <pub-date date-type="pub">
        <day>11</day>
        <month>04</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>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 commutative ring has 1, F is a free R-module and Di F be the divided power algebra of degree i.</p>
      </abstract>
      <kwd-group>
        <kwd>Place polarization</kwd>
        <kwd>Complex terms</kwd>
        <kwd>Characteristic zero</kwd>
        <kwd>Resolution</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
