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Communications in Algebra Volume 31, 2003 - Issue 9
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Original Articles

Some Results on Normal Homogeneous Ideals

Les Reid Department of Mathematics, Southwest Missouri State University, Springfield, Missouri, USA; Department of Mathematics, Southwest Missouri State University, Springfield, MO, 65804, USACorrespondence[email protected]
,
Leslie G. Roberts Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada
&
Marie A. Vitulli Department of Mathematics, University of Oregon, Eugene, Oregon, USA
Pages 4485-4506 | Received 01 Apr 2002, Published online: 01 Feb 2007

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Ibrahim Al-Ayyoub. (2010) Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves. Communications in Algebra 38:12, pages 4553-4568.
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MarieA. Vitulli. (2009) Serre's Condition Rℓ for Affine Semigroup Rings. Communications in Algebra 37:3, pages 743-756.
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Lê Tuân Hoa & Trân Nam Trung. (2008) Castelnuovo–Mumford Regularity of Sums of Powers of Polynomial Ideals. Communications in Algebra 36:2, pages 806-820.
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Reinhold Hübl. (2005) Powers of Elements and Monomial Ideals . Communications in Algebra 33:10, pages 3771-3781.
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Articles from other publishers (23)

Michele Graffeo & Andrea T. Ricolfi. (2023) On the Behrend function and the blowup of some fat points. Advances in Mathematics 415, pages 108896.
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Le Tuan Hoa. (2022) Maximal generating degrees of integral closures of powers of monomial ideals. Journal of Algebraic Combinatorics 56:2, pages 279-304.
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Le Tuan Hoa. (2020) Asymptotic behavior of integer programming and the stability of the Castelnuovo–Mumford regularity. Mathematical Programming 193:1, pages 157-194.
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Le Xuan Dung, Truong Thi Hien, Hop D. Nguyen & Tran Nam Trung. (2021) Regularity and Koszul property of symbolic powers of monomial ideals. Mathematische Zeitschrift 298:3-4, pages 1487-1522.
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Jonathan Montaño & Luis Núñez-Betancourt. (2021) Splittings and Symbolic Powers of Square-free Monomial Ideals. International Mathematics Research Notices 2021:3, pages 2304-2320.
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Ibrahim Al-Ayyoub, Mehrdad Nasernejad & Leslie G. Roberts. (2019) Normality of Cover Ideals of Graphs and Normality Under Some Operations. Results in Mathematics 74:4.
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Hông Ngoc Binh. (2019) An effective characterization of complete monomial ideals in two variables. International Journal of Algebra and Computation 29:07, pages 1311-1317.
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C. Polini, B. Ulrich, W.V. Vasconcelos & R.H. Villarreal. (2019) Indices of normalization of ideals. Journal of Pure and Applied Algebra 223:9, pages 3681-3694.
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Ibrahim Al-Ayyoub, Imad Jaradat & Khaldoun Al-Zoubi. (2019) On the Normality of a Class of Monomial Ideals via the Newton Polyhedron. Mediterranean Journal of Mathematics 16:3.
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Futoshi Hayasaka. (2018) Asymptotic vanishing of homogeneous components of multigraded modules and its applications. Journal of Algebra 513, pages 1-26.
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Le Tuan Hoa & Tran Nam Trung. (2017) Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals. Acta Mathematica Vietnamica 43:1, pages 67-81.
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PARANGAMA SARKAR & J. K. VERMA. (2016) LOCAL COHOMOLOGY OF MULTI-REES ALGEBRAS, JOINT REDUCTION NUMBERS AND PRODUCT OF COMPLETE IDEALS. Nagoya Mathematical Journal 228, pages 1-20.
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Rafael Villarreal. 2015. Monomial Algebras, Second Edition. Monomial Algebras, Second Edition 639 668 .
Kevin Langlois. (2013) Clôture intégrale et opérations de tores algébriques de complexité un dans les variétés affines. Transformation Groups 18:3, pages 739-765.
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LÊ TUÂN HOA & TRÂN NAM TRUNG. (2010) Partial Castelnuovo–Mumford regularities of sums and intersections of powers of monomial ideals. Mathematical Proceedings of the Cambridge Philosophical Society 149:2, pages 229-246.
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Ibrahim Al-Ayyoub. (2009) Normality of Monomial Ideals. Rocky Mountain Journal of Mathematics 39:1.
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Tran Nam Trung. (2009) Stability of associated primes of integral closures of monomial ideals. Journal of Combinatorial Theory, Series A 116:1, pages 44-54.
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Claudia Polini, Bernd Ulrich & Marie A. Vitulli. (2007) The core of zero-dimensional monomial ideals. Advances in Mathematics 211:1, pages 72-93.
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Eero Hyry, Yukio Nakamura & Lauri Ojala. (2006) Adjoint Ideals and Gorenstein Blowups in Two-dimensional Regular Local Rings. Mathematische Zeitschrift 254:4, pages 767-783.
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Jooyoun Hong, Bernd Ulrich & Wolmer V. Vasconcelos. (2006) Normalization of modules. Journal of Algebra 303:1, pages 133-145.
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Attila Wiebe. (2006) The Rees algebra of a positive normal affine semigroup ring. manuscripta mathematica 120:1, pages 27-38.
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Winfried Bruns & Gaetana Restuccia. (2005) Canonical modules of Rees algebras. Journal of Pure and Applied Algebra 201:1-3, pages 189-203.
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Rafael H. Villarreal. (2005) Normality of semigroups with some links to graph theory. Discrete Mathematics 302:1-3, pages 267-284.
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