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Communications in Algebra Volume 23, 1995 - Issue 12
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Original Articles

Reduction criteria for modules

D. Katz Department of Mathematics, University of Kansas, 66045, Lawrence, KS E-mail: [email protected].
Pages 4543-4548 | Received 01 Dec 1994, Published online: 27 Jun 2007

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Victor H. Jorge Pérez & Marcela D. Ferrari. (2023) Coefficient modules and Ratliff-Rush closures*. Communications in Algebra 51:8, pages 3497-3509.
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P.H. Lima & V.H. Jorge Pérez. (2020) Equimultiple coefficient modules. Quaestiones Mathematicae 43:2, pages 283-292.
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AnaL. Branco Correia & Santiago Zarzuela. (2009) On Equimultiple Modules. Communications in Algebra 37:6, pages 1949-1976.
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Jung-Chen Liu. (1999) Reduction number one for finitely generated torsion-free modules. Communications in Algebra 27:8, pages 3823-3831.
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Jung-Chen Liu. (1998) Rees algebras of finitely generated torsion -free modules over a two-dimensional regular local ring. Communications in Algebra 26:12, pages 4015-4039.
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Articles from other publishers (11)

CARLES BIVIÀ-AUSINA & JONATHAN MONTAÑO. (2020) ANALYTIC SPREAD AND INTEGRAL CLOSURE OF INTEGRALLY DECOMPOSABLE MODULES. Nagoya Mathematical Journal 245, pages 166-191.
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Gustav Sædén Ståhl. (2017) An intrinsic definition of the Rees algebra of a module. Proceedings of the Edinburgh Mathematical Society 61:1, pages 13-30.
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Priti Singh & Shiv Datt Kumar. (2014) Reduction in Rees Algebra of Modules. Algebras and Representation Theory 17:6, pages 1785-1795.
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R. Callejas-Bedregal & V.H. Jorge Pérez. (2013) Multiplicities for arbitrary modules and reduction. Rocky Mountain Journal of Mathematics 43:4.
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Javid Validashti. (2011) Relative multiplicities of graded algebras. Journal of Algebra 333:1, pages 14-25.
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Carles Bivià-Ausina. (2009) Submodules of minimal Buchsbaum–Rim multiplicity and applications. manuscripta mathematica 129:4, pages 525-544.
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C.-Y. Jean Chan, Jung-Chen Liu & Bernd Ulrich. (2008) Buchsbaum–Rim multiplicities as Hilbert–Samuel multiplicities. Journal of Algebra 319:11, pages 4413-4425.
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R. Naghipour & P. Schenzel. (2012) Asymptotic Behavior of Integral Closures in Modules. Algebra Colloquium 14:03, pages 505-514.
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David Eisenbud, Craig Huneke & Bernd Ulrich. (2004) Order ideals and a generalized Krull height theorem. Mathematische Annalen 330:3, pages 417-439.
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Jung-Chen Liu. (1998) Ratliff–Rush Closures and Coefficient Modules. Journal of Algebra 201:2, pages 584-603.
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Vijay Kodiyalam. (1995) Integrally closed modules over two-dimensional regular local rings. Transactions of the American Mathematical Society 347:9, pages 3551-3573.
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