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第一届冬季数学高级研讨会（First Winter Workshop on Advanced Topics in Mathematics:Commutative Algebra and Banach Space Theory）
第一届 冬季数学 高级研讨会
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2017/12/20
This four-day workshop is devoted to discuss advanced topics from commutative algebra and Banach space theory. The theme of this workshop is twofold: parallel series of lectures will be delivered in c...
Solving Multivariate Polynomial Systems and an Invariant from Commutative Algebra
post-quantum cryptography multivariate cryptography Groebner basis
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2017/6/22
The security of several post-quantum cryptosystems is based on the assumption that solving a system of multivariate (quadratic) polynomial equations p1=⋯=pm=0p1=⋯=pm=0 over a finite field ...
MATH 603: INTRODUCTION TO COMMUTATIVE ALGEBRA
MATH COMMUTATIVE ALGEBRA
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2015/9/29
What is this course about? The foundations of di erential geometry (=
study of manifolds) rely on analysis in several variables as \local machinery": many
global theorems about manifolds are reduced...
Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra
Gr¨obner-Shirshov basis non-associative algebra commutative algebra
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2010/11/26
We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbi...