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    <Journal>
      <PublisherName>ijesm</PublisherName>
      <JournalTitle>International Journal of Engineering, Science and</JournalTitle>
      <PISSN>I</PISSN>
      <EISSN>S</EISSN>
      <Volume-Issue>volume 15,issue 8</Volume-Issue>
      <PartNumber/>
      <IssueTopic>Multidisciplinary</IssueTopic>
      <IssueLanguage>English</IssueLanguage>
      <Season>August 2026</Season>
      <SpecialIssue>N</SpecialIssue>
      <SupplementaryIssue>N</SupplementaryIssue>
      <IssueOA>Y</IssueOA>
      <PubDate>
        <Year>-0001</Year>
        <Month>11</Month>
        <Day>30</Day>
      </PubDate>
      <ArticleType>Engineering, Science and Mathematics</ArticleType>
      <ArticleTitle>STUDY OF THE STURCTURE OF RINGS WITH ( x, y, z) = (y, z, x)</ArticleTitle>
      <SubTitle/>
      <ArticleLanguage>English</ArticleLanguage>
      <ArticleOA>Y</ArticleOA>
      <FirstPage>16</FirstPage>
      <LastPage>23</LastPage>
      <AuthorList>
        <Author>
          <FirstName>RISHAV KUMAR SINGH and Dr. Mukund Kumar</FirstName>
          <LastName>Singh</LastName>
          <AuthorLanguage>English</AuthorLanguage>
          <Affiliation/>
          <CorrespondingAuthor>N</CorrespondingAuthor>
          <ORCID/>
        </Author>
      </AuthorList>
      <DOI/>
      <Abstract>We discuss the structure of rings satisfying the identity (x,y,z) = (y,z,x). If R is a ring satisfying the identity (x,y,z) = (y,z,x) and if it also satisfies the identity (x,x,x) = 0, then R is alternative. It is known that if R satisfies (x,y,z) = (y,z,x), it need not be an alternative ring [11]. Thus the class of rings satisfying this identity is a non-trivial extension of the class of alternative rings. Jordan remarked that (x,x,x)2 = 0 is an identity in R. Outcalt strengthened this remark by proving that (y,x,x)2 = 0 for all x,y __ampersandsignisin; R.</Abstract>
      <AbstractLanguage>English</AbstractLanguage>
      <Keywords/>
      <URLs>
        <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=16344&amp;title=STUDY OF THE STURCTURE OF RINGS WITH  ( x, y, z) = (y, z, x)</Abstract>
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      <References>
        <ReferencesarticleTitle>References</ReferencesarticleTitle>
        <ReferencesfirstPage>16</ReferencesfirstPage>
        <ReferenceslastPage>19</ReferenceslastPage>
        <References/>
      </References>
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