<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-1626</article-id>
      <title-group>
        <article-title>On the j-algebra</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Jabi</surname>
            <given-names>Naba Hasson</given-names>
          </name>
          <aff>Depatment of Mathematics, Faculty of Eduation for Girls, University of Kufa, Najaf, MI, 54001, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Hameed</surname>
            <given-names>Areej Tawfeeq</given-names>
          </name>
          <aff>Depatment of Mathematics, Faculty of Eduation for Girls, University of Kufa, Najaf, MI, 54001, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>26</volume>
      <issue>6</issue>
      <fpage>1281</fpage>
      <lpage>1286</lpage>
      <pub-date date-type="pub">
        <day>08</day>
        <month>09</month>
        <year>2023</year>
      </pub-date>
      <abstract>
        <p>We introduced a novel algebraic structure in this study with two operations, also known as y-algebras, defined its ideals and investigated a few of its properties. In particular, we showed that if is(c; +, -, 0) is a y-algebra, then (c; +) is a semigroup using identity 0. Additionally, we discussed how ideals and congruences relate to one another. We also discussed the subgroup,homomorphism and investigated some theories.</p>
      </abstract>
      <kwd-group>
        <kwd>y-algebras</kwd>
        <kwd>y-subalgebra</kwd>
        <kwd>y-deal</kwd>
        <kwd>Homoorphis of y-algebra</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>
