| Name : Liu, Jung-Chen |
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| Title : Associate Professor | |
| Office : M314 | |
| Phone :02-7734-6644 | |
| email : |
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| Degree : Purdue University, Ph.D. | |
| Subject : Commutative Algebra | |
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| Education : |
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Purdue University, Ph.D.(1998/8) National Taiwan Normal University, M.S.(1991/6) National Tsing-Hua University, B.Sc.(1989/6) |
| Professional Experiences : |
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National Taiwan Normal University, TA(1991/8 to 1992/7) National Taiwan Normal University, Assistance Professor (1998/8 to 2002/7) |
| Courses : |
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Modern Algebra Notes (Slides): Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Lecture 13 Lecture 14 Lecture 15 Lecture 16 Lecture 17 |
| Publications : |
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1. Ratliff-Rush closures and coefficient modules, Journal of Algebra, 201(1998), 584-6032. 2. Rees algebras of finitely generated torsion-free modules over a two-dimensional regular local ring, Comm. in Algebra, 26(1998), 4015-40393. 3. Reduction for torsion-free modules, Comm. in Algebra, 27(1999), 3823-38314. 4. Algorithms on Parametric Decomposition of Monomial Ideals, Comm. in Algebra, 30(2002), 3435-3456 5. with Mark W. Rogers, The Index of Reducibility of Parameter Ideals and Mostly Zero Finite Local Cohomologies, Comm. in Algebra, 34(2006), 1-20 6. with C-Y. Jean Chan and Bernd Ulrich, Buchsbaum-Rim Multiplicities as Hilbert-Samuel Multiplicities, Journal of Algebra, to appear |
| Projects : |
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1998 Buchsbaum-Rim Polynomials, NSC 88-2119-M-003-001 1999 Sally Modules, NSC 89-2115-M-003-004 2000 The Rees Algebras of Parameter Modules, NSC 89-2115-M-003-013 2001 Gauss Lemma and Dedekind-Mertens Lemma, NSC 90-2115-M-003-007 2002 Algorithms on Parametric Decompsition of Monomial Ideals, NSC 91-2115-M-003-011 2003 Buchsbaum-Rim Multiplicities and Hilbert-Samuel Multiplicities, NSC 92-2115-M-003-016 91-2115-M-003-011 2004 Commutative Ideal Theory without Finiteness Conditions, NSC 93-2115-M-003-007 2005 The Index of Reducibility of Parameter Ideals and Finite Local Cohomology, NSC 94-2115-M-003-006 2007 Corner-Elements of Monomial Ideals and Index of Reducibility of Parameter Ideals, NSC 96-2115-M-003-003- |
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