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Communications in Algebra Volume 41, 2013 - Issue 3
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Original Articles

Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings

Muhammad Ishaq Abdus Salam School of Mathematical Sciences, GC University, Lahore, PakistanCorrespondence[email protected]
&
Muhammad Imran Qureshi Comsats Institute of Information Technology, Vehari, Pakistan
Pages 1107-1116 | Received 13 Apr 2011, Published online: 13 Mar 2013

Citations (12)

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Read on this site (2)

Bakhtawar Shaukat, Ahtsham Ul Haq & Muhammad Ishaq. (2023) Some algebraic Invariants of the residue class rings of the edge ideals of perfect semiregular trees. Communications in Algebra 51:6, pages 2364-2383.
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Zahid Iqbal, Muhammad Ishaq & Muhammad Aamir. (2018) Depth and Stanley depth of the edge ideals of square paths and square cycles. Communications in Algebra 46:3, pages 1188-1198.
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Articles from other publishers (10)

Guiling Zeng, Muhammad Mobeen Munir, Raheel Farooki, Muhammad Athar & Jia Bao Liu. (2022) Stanley Depth of the Edge Ideal of Extended Gear Networks and Application in Circuit Analysis. Journal of Mathematics 2022, pages 1-8.
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Malik Muhammad Suleman Shahid, Muhammad Ishaq, Anuwat Jirawattanapanit & Khanyaluck Subkrajang. (2022) Depth and Stanley depth of the edge ideals of multi triangular snake and multi triangular ouroboros snake graphs. AIMS Mathematics 7:9, pages 16449-16463.
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Zahid IQBAL, Muhammad ISHAQ & Muhammad Ahsan BİNYAMİN. (2021) Depth and Stanley depth of the edge ideals of the strong product of some graphs. Hacettepe Journal of Mathematics and Statistics 50:1, pages 92-109.
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Zahid IqbalMuhammad Ishaq. (2019) Depth and Stanley depth of the edge ideals of the powers of paths and cycles. Analele Universitatii "Ovidius" Constanta - Seria Matematica 27:3, pages 113-135.
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Jia-Bao Liu, Mobeen Munir, Raheel Farooki, Muhammad Imran Qureshi & Quratulien Muneer. (2019) Stanley Depth of Edge Ideals of Some Wheel-Related Graphs. Mathematics 7:2, pages 202.
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Zahid Iqbal & Muhammad Ishaq. (2019) Depth and Stanley depth of edge ideals associated to some line graphs. AIMS Mathematics 4:3, pages 686-698.
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Bogdan Ichim, Lukas Katthän & Julio José Moyano-Fernández. (2017) Stanley depth and the lcm-lattice. Journal of Combinatorial Theory, Series A 150, pages 295-322.
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Lizhong Chu & V. H. Jorge Pérez. (2016) The Stanley regularity of complete intersections and ideals of mixed products. Journal of Algebra and Its Applications 16:07, pages 1750122.
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B. Ichim, L. Katthän & J.J. Moyano-Fernández. (2015) The behavior of Stanley depth under polarization. Journal of Combinatorial Theory, Series A 135, pages 332-347.
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Yi-Huang Shen. (2015) Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters. Journal of Commutative Algebra 7:3.
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