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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume></Volume>
				<Issue>Articles in Press</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>05</Month>
					<Day>25</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Application of fundamental relations on n-ary polygroups</ArticleTitle><FirstPage></FirstPage>
			<LastPage></LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Bijan </FirstName>
					<LastName>Davvaz</LastName>
					<Affiliation>Yazd University</Affiliation>
				</Author>
<Author>
					<FirstName>Saeed </FirstName>
					<LastName>Mirvakili</LastName>
					<Affiliation>Payame Noor  University</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2011</Year>
					<Month>05</Month>
					<Day>24</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[$n$-ary polygroups are a certain subclass of $n$-ary hypergroups, a generalization of D{&amp;quot;o}rnte $n$-ary groups and  a generalization of polygroups. The $beta^*$-relation and $gamma^*$-relation are the smallest equivalence relations on an $n$-ary polygroup $P$ such that $P/beta^*$ and $P/gamma^*$ are an $n$-ary group and a commutative $n$-ary group, respectively.  In this paper, we use the $beta^*$-relation and  the $gamma^*$-relation on a given $n$-ary polygroup and obtain  some new results and some fundamental theorems in this respect. In particular, we prove  the relation $gamma$ is transitive on an $n$-ary polygroup.]]></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">fundamental relation</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>