논문KCI 등재
On the minimal graded free resolution of powers of lexsegment ideals
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We consider powers of lexsegment ideals with a linear resolu-tion (equivalently, with linear quotients) which are not completely lexseg-ment ideals. We give a complete description of their minimal graded freeresolution.
Abstract
We consider powers of lexsegment ideals with a linear resolu-tion (equivalently, with linear quotients) which are not completely lexseg-ment ideals. We give a complete description of their minimal graded freeresolution.
참고문헌 (11)
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- E. De Negri, "Completely lexsegment ideals", Proc. Amer. Math. Soc, 126(12), pp.3467~3473 (1998)
- V. Ene, "Properties of lexsegment ideals", Osaka J. Math, 47(1), pp.67~87 (2010)
- V. Ene, "Powers of lexsegment ideals with linear resolutions", Illinois J. Math
- J. Herzog, "Resolutions by mapping cones", Homology Homotopy Appl, 4(2), pp.277~294 (2002)
- H. Hulett, "Betti numbers of lex-segment ideals", J. Algebra, 275(2), pp.629~638 (2004)
- M. Ishaq, "Lexsegment ideals are sequentially Cohen–Macaulay", ~
- A. Olteanu, "Normally torsion-free lexsegment ideals", Alg. Coll
- A. Olteanu, "Gotzmann lexsegment ideals", Matematiche (Catania), 63(2), pp.229~241 (2008)
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