Department of East Asian Studies: Joint Project on “History of Education in East Asia” Ideals and Goals Excellence vs. Equality Created by: Katarzyna Grychtoł, Marianne Kollipost, Christine Marie Sia, The

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Computational Algebra and Combinatorics of Toric Ideals Diane Maclagan Rekha R. Thomas Sara Faridi Leah Gold

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T HE B ETTI NUMBERS OF S TANLEY-R EISNER IDEALS OF SIMPLICIAL TREES Sara Faridi∗ Abstract

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J. Symbolic Computation, 97–112 doi:jscoAvailable online at http://www.idealibrary.com on Class Number Relations from a Computational Point of View

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• Algebra
• Abstract algebra
• Group theory
• Mathematics
• Index of a subgroup
• Regular icosahedron
• Conjugacy class
• Group action
• Algebraic number field
• Coset
• Splitting of prime ideals in Galois extensions
• Polar coordinate system

Infinite sums of Adams operations Sarah Whitehouse Bonn, SeptemberBased on joint work with

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic number theory
• Ring
• Cohomology theories
• Homological algebra
• Steenrod algebra
• Splitting of prime ideals in Galois extensions

Department of East Asian Studies: Joint Project on “History of Education in East Asia” Ideals and Goals Ethics and Morals Created by: Dominik Fellner, Magdalena Stockinger and Michael Weißenbacher

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Intersections of Leray Complexes and Regularity of Monomial Ideals Gil Kalai∗ Roy Meshulam†

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COMPUTATIONAL ALGEBRAIC GEOMETRY II MATS BOIJ Homework 5 Stablizer groups of initial ideals. The generic initial ideal is a Borel-fixed ideal, which means that the Borel subgroup of the general linear group stabilzes the

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MAT 534 — HOMEWORK 12 DUE ON FRIDAY 25 APRIL 1. (Ch. 14, #6) Find all maximal ideals in Z10 and Z12 . (Remember that an ideal is in

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EPILOGUE The Committee does not believe that the acts which it has examined re resent the real American character. They do not reflect the ideals TVK ich have given the people of this country and of the world hope for a

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