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Communications in Algebra Volume 38, 2010 - Issue 5
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Original Articles

Algebraic Properties of the Path Ideal of a Tree

Jing (Jane) He School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, CanadaCorrespondence[email protected]
&
Adam Van Tuyl Department of Mathematical Sciences, Lakehead University, Thunder Bay, Ontario, Canada
Pages 1725-1742 | Received 05 Feb 2009, Published online: 13 May 2010

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Mehrdad Nasernejad & Ayesha Asloob Qureshi. (2024) Algebraic implications of neighborhood hypergraphs and their transversal hypergraphs. Communications in Algebra 52:6, pages 2328-2345.
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Kazem Khashyarmanesh & Mehrdad Nasernejad. (2020) On the minimal path cover sets of union of certain graphs. Quaestiones Mathematicae 43:7, pages 881-901.
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Fahimeh Khosh-Ahang & Somayeh Moradi. (2019) Some algebraic properties of t-clique ideals. Communications in Algebra 47:7, pages 2870-2882.
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Mircea Cimpoeaş. (2018) A class of square-free monomial ideals associated to two integer sequences. Communications in Algebra 46:3, pages 1179-1187.
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Kazem Khashyarmanesh & Mehrdad Nasernejad. (2018) A note on the Alexander dual of path ideals of rooted trees. Communications in Algebra 46:1, pages 283-289.
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Mehrdad Nasernejad & Kazem Khashyarmanesh. (2017) On the Alexander dual of the path ideals of rooted and unrooted trees. Communications in Algebra 45:5, pages 1853-1864.
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Dariush Kiani & Sara Saeedi Madani. (2016) Betti Numbers of Path Ideals of Trees. Communications in Algebra 44:12, pages 5376-5394.
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Ali Alilooee & Sara Faridi. (2015) On the Resolution of Path Ideals of Cycles. Communications in Algebra 43:12, pages 5413-5433.
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Articles from other publishers (26)

Kazem Khashyarmanesh, Mehrdad Nasernejad & Ayesha Asloob Qureshi. (2022) On the matroidal path ideals. Journal of Algebra and Its Applications 22:11.
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Patricia Pascual-Ortigosa & E. Sáenz-de-Cabezón. (2020) Support posets of some monomial ideals. Applicable Algebra in Engineering, Communication and Computing 33:4, pages 457-475.
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Seyed Mohammad Ajdani & Francisco Bulnes. 2022. Advanced Topics of Topology. Advanced Topics of Topology.
Ali Alilooee & Arindam Banerjee. (2021) Packing properties of cubic square-free monomial ideals. Journal of Algebraic Combinatorics 54:3, pages 803-813.
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Li Xu, Guangjun Zhu, Hong Wang & Jiaqi Zhang. (2021) Projective Dimension and Regularity of Powers of Edge Ideals of Vertex-Weighted Rooted Forests. Bulletin of the Malaysian Mathematical Sciences Society 44:4, pages 2215-2233.
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Ralf Fröberg. 2021. Commutative Algebra. Commutative Algebra 317 341 .
Fatemeh Mohammadi, Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón & Henry P. Wynn. (2019) Polarization and depolarization of monomial ideals with application to multi-state system reliability. Journal of Algebraic Combinatorics 51:4, pages 617-639.
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Nursel Erey. 2020. Combinatorial Structures in Algebra and Geometry. Combinatorial Structures in Algebra and Geometry 51 65 .
Guangjun Zhu, Li Xu, Hong Wang & Zhongming Tang. (2019) Projective dimension and regularity of edge ideals of some weighted oriented graphs. Rocky Mountain Journal of Mathematics 49:4.
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Guangjun Zhu. (2018) Projective dimension and regularity of path ideals of cycles. Journal of Algebra and Its Applications 17:10, pages 1850188.
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Anda Olteanu & Oana Olteanu. (2018) On the alexander dual of path ideals of cycle posets. Mathematica Slovaca 68:2, pages 319-330.
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Guangjun Zhu. (2018) Projective dimension and regularity of the path ideal of the line graph. Journal of Algebra and Its Applications 17:04, pages 1850068.
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A. Alilooee & S. Faridi. (2018) Graded Betti numbers of path ideals of cycles and lines. Journal of Algebra and Its Applications 17:01, pages 1850011.
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Mehrdad Nasernejad. (2017) Persistence property for some classes of monomial ideals of a polynomial ring. Journal of Algebra and Its Applications 16:06, pages 1750105.
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Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón & Henry P. Wynn. (2017) Types of signature analysis in reliability based on Hilbert series. Journal of Symbolic Computation 79, pages 140-155.
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Rachelle R. Bouchat & Tricia Muldoon Brown. (2017) Multi-graded Betti numbers of path ideals of trees. Journal of Algebra and Its Applications 16:01, pages 1750018.
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Sara Saeedi Madani & Dariush Kiani. (2016) Cohen-Macaulay and Gorenstein Path Ideals of Trees. Algebra Colloquium 23:03, pages 469-480.
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Nursel Erey & Sara Faridi. (2016) Betti numbers of monomial ideals via facet covers. Journal of Pure and Applied Algebra 220:5, pages 1990-2000.
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Daniel Campos, Ryan Gunderson, Susan Morey, Chelsey Paulsen & Thomas Polstra. (2016) Depths and Stanley depths of path ideals of spines. Involve, a Journal of Mathematics 9:1, pages 155-170.
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Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón & Henry P. Wynn. (2016) The Algebraic Method in Tree Percolation. SIAM Journal on Discrete Mathematics 30:2, pages 1193-1212.
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Rafael Villarreal. 2015. Monomial Algebras, Second Edition. Monomial Algebras, Second Edition 639 668 .
Leila Sharifan, Mehrdad Nasernejad & Kazem Khashyarmanesh. (2014) Minimal path cover sets and monomial ideals. Journal of Algebra and Its Applications 14:02, pages 1550014.
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Daniel Campos, Ryan Gunderson, Susan Morey, Chelsey Paulsen & Thomas Polstra. (2014) Depths and Cohen–Macaulay properties of path ideals. Journal of Pure and Applied Algebra 218:8, pages 1537-1543.
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Martina Kubitzke & Anda Olteanu. (2014) Algebraic properties of classes of path ideals of posets. Journal of Pure and Applied Algebra 218:6, pages 1012-1033.
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Kyouko Kimura & Naoki Terai. (2013) Binomial arithmetical rank of edge ideals of forests. Proceedings of the American Mathematical Society 141:6, pages 1925-1932.
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Adam Van Tuyl. 2013. Monomial Ideals, Computations and Applications. Monomial Ideals, Computations and Applications 63 94 .

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