<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>University of Mohaghegh Ardabili</PublisherName>
				<JournalTitle>Journal of Hyperstructures</JournalTitle>
				<Issn>2251-8436</Issn>
				<Volume>5</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2016</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>On general n-ary hyperstructure semilattices</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>1</FirstPage>
			<LastPage>16</LastPage>
			<ELocationID EIdType="pii">2608</ELocationID>
			
<ELocationID EIdType="doi">10.22098/jhs.2016.2608</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Akbar</FirstName>
					<LastName>Dehghan Nezhad</LastName>
<Affiliation>School of Mathematics, Iran University of Science and Technology, P.O.Box 16846
-13114, Tehran, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Najmeh</FirstName>
					<LastName>Khajuee</LastName>
<Affiliation>Department of Mathematics, Shahid Bahonar University of Kerman, P.O.Box 76169-
133, Kerman, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2015</Year>
					<Month>01</Month>
					<Day>19</Day>
				</PubDate>
			</History>
		<Abstract> In this paper, the n-ary hyperstructure will be applied to some aspects of lattice theory. We introduce the concepts of general n-ary hyperstructure semilattice ( or gnh-semilattice) and Gnh-subsemilattice, ideal of gnh-semilattice, gno-order, Gnoorder, multiplier of type α on gnh-semilattice, F-quasi invariant subset of gnh-semilattice and so on. We also study some of their related properties.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">gnh-semilattice</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Gno-order</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">multiplier of type α on gnhsemilattice</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jhs.uma.ac.ir/article_2608_d18f5f6a5bc97b9e811475634c63fb21.pdf</ArchiveCopySource>
</Article>

<Article>
<Journal>
				<PublisherName>University of Mohaghegh Ardabili</PublisherName>
				<JournalTitle>Journal of Hyperstructures</JournalTitle>
				<Issn>2251-8436</Issn>
				<Volume>5</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2016</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Some results on PIT and GPIT theorems</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>17</FirstPage>
			<LastPage>25</LastPage>
			<ELocationID EIdType="pii">2650</ELocationID>
			
<ELocationID EIdType="doi">10.22098/jhs.2016.2650</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>M.</FirstName>
					<LastName>Ebrahimpour</LastName>
<Affiliation>Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 518, Rafsanjan, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2016</Year>
					<Month>02</Month>
					<Day>24</Day>
				</PubDate>
			</History>
		<Abstract>In this paper we generalize the P IT and the GP IT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results. </Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">PIT</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">GPIT</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Noetherian rings</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Local rings</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Finitely generated module</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jhs.uma.ac.ir/article_2650_fde4ff909cebfab9417b0668a93d0b4b.pdf</ArchiveCopySource>
</Article>

<Article>
<Journal>
				<PublisherName>University of Mohaghegh Ardabili</PublisherName>
				<JournalTitle>Journal of Hyperstructures</JournalTitle>
				<Issn>2251-8436</Issn>
				<Volume>5</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2016</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>On harmonious chromatic number of triple star graph</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>26</FirstPage>
			<LastPage>32</LastPage>
			<ELocationID EIdType="pii">2651</ELocationID>
			
<ELocationID EIdType="doi">10.22098/jhs.2016.2651</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Akhlak</FirstName>
					<LastName>Mansuri</LastName>
<Affiliation>Department of Mathematics, Lakshmi Narain College Of Technology (LNCT, Bhopal),
Kalchuri Nagar, Raisen Road, Bhopal-462021, India</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2014</Year>
					<Month>06</Month>
					<Day>06</Day>
				</PubDate>
			</History>
		<Abstract>A Harmonious coloring of a graph G is a proper vertex coloring of G, in which every pair of colors appears on at most one pair of adjacent vertices and the harmonious chromatic number of graph G is the minimum number of colors needed for the harmonious coloring of G and it is denoted byXH(G).The purpose of this paper is to extend the double star graph [12] and to discuss harmonious coloring for central graph, middle graph and total graph of extended double star graph i.e. triple star graph.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Central graph</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Middle graph</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Total graph</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Harmonious coloring and Harmonious chromatic number</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jhs.uma.ac.ir/article_2651_3d7dbbe6571d6251ecf5ae4c655510dd.pdf</ArchiveCopySource>
</Article>

<Article>
<Journal>
				<PublisherName>University of Mohaghegh Ardabili</PublisherName>
				<JournalTitle>Journal of Hyperstructures</JournalTitle>
				<Issn>2251-8436</Issn>
				<Volume>5</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2016</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>On the matrix of rank one over a UFD</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>33</FirstPage>
			<LastPage>40</LastPage>
			<ELocationID EIdType="pii">2652</ELocationID>
			
<ELocationID EIdType="doi">10.22098/jhs.2016.2652</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Somayeh</FirstName>
					<LastName>Hadjirezaei</LastName>
<Affiliation>Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 7718897111,
Rafsanjan, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Somayeh</FirstName>
					<LastName>Karimzadeh</LastName>
<Affiliation>Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 7718897111,
Rafsanjan, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2015</Year>
					<Month>12</Month>
					<Day>22</Day>
				</PubDate>
			</History>
		<Abstract>In this paper we characterize all matrices of rank one over a unique factorization domain (UFD). Also we find the Rmodule generated by the rows and the R-module generated by the columns of a matrix of rank one and assert some properties of them.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">unique factorization domain</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">rank of a matrix</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">irreducible element</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jhs.uma.ac.ir/article_2652_09fc08ab19bd02f5be2dd9872ad3c69b.pdf</ArchiveCopySource>
</Article>

<Article>
<Journal>
				<PublisherName>University of Mohaghegh Ardabili</PublisherName>
				<JournalTitle>Journal of Hyperstructures</JournalTitle>
				<Issn>2251-8436</Issn>
				<Volume>5</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2016</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Compute algebra and thurston geometries</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>41</FirstPage>
			<LastPage>55</LastPage>
			<ELocationID EIdType="pii">2653</ELocationID>
			
<ELocationID EIdType="doi">10.22098/jhs.2016.2653</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Nemat</FirstName>
					<LastName>Abazari</LastName>
<Affiliation>Department of Mathematics and Applications, Faculty of Mathematical Sciences,
University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran.</Affiliation>

</Author>
<Author>
					<FirstName>Masoud</FirstName>
					<LastName>Sahraei</LastName>
<Affiliation>Department of Mathematics and Applications, Faculty of Mathematical Sciences,
University of Mohaghegh Ardabili, P.O.Box 56199-11367, Ardabil, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2015</Year>
					<Month>11</Month>
					<Day>25</Day>
				</PubDate>
			</History>
		<Abstract>The article illustrates the graphical study of geodesic motion on H3 , H2×R, N il3 and Sol3 using the symbolic and graphical computation of MATLAB platform.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Thurston geometries</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Computer algebra</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Geodesic</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jhs.uma.ac.ir/article_2653_545d99fd574ff4d3ca0e594553fefbe4.pdf</ArchiveCopySource>
</Article>

<Article>
<Journal>
				<PublisherName>University of Mohaghegh Ardabili</PublisherName>
				<JournalTitle>Journal of Hyperstructures</JournalTitle>
				<Issn>2251-8436</Issn>
				<Volume>5</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2016</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Reproducing kernel method for solving wiener-hopf equations of the second kind</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>56</FirstPage>
			<LastPage>68</LastPage>
			<ELocationID EIdType="pii">2654</ELocationID>
			
<ELocationID EIdType="doi">10.22098/jhs.2016.2654</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Azizallah</FirstName>
					<LastName>Alvandi</LastName>
<Affiliation>Department of Mathematics, Hamedan Branch, Islamic Azad University , Iran</Affiliation>

</Author>
<Author>
					<FirstName>Taher</FirstName>
					<LastName>Lotf</LastName>
<Affiliation>Department of Mathematics, Hamedan Branch, Islamic Azad University , Iran</Affiliation>

</Author>
<Author>
					<FirstName>M.</FirstName>
					<LastName>Paripour</LastName>
<Affiliation>Department of Science, Hamedan University of Technology, Hamedan, 65156-579,
Iran.</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2016</Year>
					<Month>01</Month>
					<Day>25</Day>
				</PubDate>
			</History>
		<Abstract>This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used. The advantage of this numerical method is the representation of exact solution in reproducing kernel Hilbert space and accuracy in numerical computation is higher. On the other hand, by improving the traditional reproducing kernel method and the definition of the operator of W Hilbert space, the solutions of Wiener Hopf equation of the second kind are obtained. The approximate solution converges uniformly and rapidly to the exact solution. Numerical examples indicate that this method is efficient for solving these equations. The validity of the method is illustrated with two examples.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Reproducing kernel method</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Wiener-Hopf equation</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Singular integral equation</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jhs.uma.ac.ir/article_2654_c5cb7242e2f5c1c3133862091004f294.pdf</ArchiveCopySource>
</Article>

<Article>
<Journal>
				<PublisherName>University of Mohaghegh Ardabili</PublisherName>
				<JournalTitle>Journal of Hyperstructures</JournalTitle>
				<Issn>2251-8436</Issn>
				<Volume>5</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2016</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Differential transformation method for solving hybrid fuzzy differential equations</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>69</FirstPage>
			<LastPage>83</LastPage>
			<ELocationID EIdType="pii">2655</ELocationID>
			
<ELocationID EIdType="doi">10.22098/jhs.2016.2655</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Bahman</FirstName>
					<LastName>Ghazanfari</LastName>
<Affiliation>Department of Mathematics, Lorestan University, P.O.Box 68137-17133, Khorramabad, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Parvin</FirstName>
					<LastName>Ebrahimi</LastName>
<Affiliation>Department of Mathematics, Lorestan University, P.O.Box 68137-17133, Khorramabad, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2015</Year>
					<Month>01</Month>
					<Day>22</Day>
				</PubDate>
			</History>
		<Abstract>In this paper, Differential Transformation Method (DTM) was studied for solving Hybrid Fuzzy Differential Equations (HFDEs). The proposed method was also illustrated by some examples and the error comparison was made using Runge-Kutta method of order 4 (RK4).</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Hybrid systems, Fuzzy differential equations, Seikkala derivative</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Differential Transformation method</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jhs.uma.ac.ir/article_2655_ae6879346ce7e2079e50ce4ccac14e00.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
