Commutative algebra | Theorems in abstract algebra | Field (mathematics)

Abhyankar's inequality

Abhyankar's inequality is an inequality involving extensions of valued fields in algebra, introduced by Abhyankar. If K/k is an extension of valued fields, then Abhyankar's inequality states that the transcendence degree of K/k is at least the transcendence degree of the residue field extension plus the of the quotient of the valuation groups. (Wikipedia).

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Zero dimensional valuations on equicharacteristic (...) - B. Teissier - Workshop 2 - CEB T1 2018

Bernard Teissier (IMJ-PRG) / 06.03.2018 Zero dimensional valuations on equicharacteristic noetherian local domains. A study of those valuations based, in the case where the domain is complete, on the relations between the elements of a minimal system of generators of the value semigroup o

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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Understanding Wealth Inequality

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Yves André - Direct summand conjecture and perfectoid Abhyankar lemma: an overview

Séminaire Paris Pékin Tokyo / Mercredi 2 novembre 2016 According to Hochster's direct summand conjecture (1973), a regular ring R is a direct summand, as an R-module, of every finite extension ring. We shall outline our recent proof which relies on perfectoid techniques. Similar arguments

From playlist Conférences Paris Pékin Tokyo

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Frédéric Mangolte: Algebraic models of the line in the real affine plane

Abstract: We study the following real version of the famous Abhyankar-Moh Theorem: Which real rational map from the affine line to the affine plane, whose real part is a non-singular real closed embedding of ℝ into ℝ^2, is equivalent, up to a birational diffeomorphism of the plane, to the

From playlist Algebraic and Complex Geometry

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Chebyshev's inequality

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From playlist Real Analysis

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From playlist Solve Absolute Value Inequalities

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From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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From playlist Solve Absolute Value Inequalities

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From playlist Solve Absolute Value Inequalities

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From playlist Algebra

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From playlist Algebra 1

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From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Lesson 12 Module 3 video

Grade 7: Module 3 Lesson 12 on Inequalities

From playlist Eureka Math Grade 7 Module 3

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From playlist Solve Absolute Value Inequalities

Related pages

Transcendence degree | Quotient | Algebra | Residue field