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<journal-id journal-id-type="publisher">global-journal-of-science-frontier-research-f-mathematics-decision</journal-id>
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<journal-title>Global Journal of Science Frontier Research - F: Mathematics &amp; Decision</journal-title>
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<issn publication-format="print">0975-5896</issn>
<issn publication-format="electronic">2249-4626</issn>
<publisher><publisher-name>Global Journals Publishing Group Incorporated</publisher-name></publisher>
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<article-id pub-id-type="publisher-id">115871</article-id>
<title-group>
<article-title>A Note on the Representation and Definition of Dual Split Semi-quaternions Algebra</article-title>
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<contrib-group>
<contrib contrib-type="author"><name><surname>Jafari</surname><given-names>Mehdi</given-names></name><xref ref-type="aff" rid="aff1" />
</contrib>
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<aff id="aff1">IRAN, Afagh Higher Education Institute</aff>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2017-11-03">
<day>03</day>
<month>11</month>
<year>2017</year>
</pub-date>
<volume>17</volume>
<issue>F8</issue>
<abstract><p>In this paper, dual split semi-quaternions algebra, ss Η , is defined for the first time, and some fundamental algebraic properties of its is studied. The set of all unit dual split semi-quaternions is a subgroup of ss Η . Fortheremore, by De-Moivre’s formula, any powers of these quaternions are obtained.</p></abstract>
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<kwd>dual split semi-quaternion</kwd>
<kwd>de-moivre’s theorem</kwd>
<kwd>subgroup.</kwd>
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<title>Full Text</title>
<p>In this paper, dual split semi-quaternions algebra, ss Η , is defined for the first time, and some fundamental algebraic properties of its is studied. The set of all unit dual split semi-quaternions is a subgroup of ss Η . Fortheremore, by De-Moivre’s formula, any powers of these quaternions are obtained.</p>
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