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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.6//EN" "http://www.ncbi.nlm.nih.gov/corehtml/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>38</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>04</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Application of fundamental relations on n-ary polygroups</ArticleTitle><FirstPage>169</FirstPage>
			<LastPage>184</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>S. </FirstName>
					<LastName>Mirvakili</LastName>
					<Affiliation>Payame Noor University</Affiliation>
				</Author>
<Author>
					<FirstName>B. </FirstName>
					<LastName>Davvaz</LastName>
					<Affiliation>Yazd University</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2009</Year>
					<Month>04</Month>
					<Day>30</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[The class of  $n$-ary polygroups is a certain subclass of $n$-ary hypergroups, a generalization of D{"o}rnte $n$-arygroups and  a generalization of polygroups. The$beta^*$-relation and the $gamma^*$-relation are the smallestequivalence relations on an $n$-ary polygroup $P$ such that$P/beta^*$ and $P/gamma^*$ are an $n$-ary group and acommutative $n$-ary group, respectively. We use the $beta^*$-relation and  the $gamma^*$-relation on a given$n$-ary polygroup and obtain  some new results and somefundamental theorems in this respect. In particular, we prove that  the relation $gamma$ is transitive on an $n$-arypolygroup.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Hypergroup</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">polygroup</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">$n$-ary
hypergroup</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">$n$-ary polygroup</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">derived $n$-ary subgroup</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">fundamental relation</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>