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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>On Heyting algebras and dual BCK-algebras</ArticleTitle><FirstPage>159</FirstPage>
			<LastPage>168</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Y. </FirstName>
					<LastName>Yon</LastName>
					<Affiliation>Mokwon University</Affiliation>
				</Author>
<Author>
					<FirstName>K. H.</FirstName>
					<LastName>Kim</LastName>
					<Affiliation>Chungju National University</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2009</Year>
					<Month>04</Month>
					<Day>30</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[A Heyting algebra is a distributive lattice with implication and a dual $BCK$-algebra is an algebraic system having as models logical systems equipped with implication. The aim of this paper is to investigate the relation of Heyting algebras between dual $BCK$-algebras. We define notions of $i$-invariant and $m$-invariant on dual $BCK$-semilattices and prove that a Heyting semilattice is equivalent to an $i$-invariant and $m$-invariant dual $BCK$-semilattices, and show that a commutative Heyting algebra is equivalent to a bounded implicative dual $BCK$-algebra.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Heyting semilattice</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Heyting algebra</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">dual $BCK$-algebra</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>