In algebraic geometry, a morphism of schemes f: X → Y is called radicial or universally injective, if, for every field K the induced map X(K) → Y(K) is injective. (EGA I, (3.5.4)) This is a generalization of the notion of a purely inseparable extension of fields (sometimes called a radicial extension, which should not be confused with a radical extension.) It suffices to check this for K algebraically closed. This is equivalent to the following condition: f is injective on the topological spaces and for every point x in X, the extension of the residue fields k(f(x)) ⊂ k(x) is radicial, i.e. purely inseparable. It is also equivalent to every base change of f being injective on the underlying topological spaces. (Thus the term universally injective.) Radicial morphisms are stable under composition, products and base change. If gf is radicial, so is f. (Wikipedia).
From playlist Trigonometry TikToks
Radian Definition: Dynamic & Conceptual Illustrator
Link: https://www.geogebra.org/m/VYq5gSqU
From playlist Trigonometry: Dynamic Interactives!
What is a radian? 🤔 Interactive dynamic radius wrapping exploration for Ss: https://www.geogebra.org/m/e3aamere #GeoGebra #MTBoS #ITeachMath #algebra #geometry #trigonometry #mathchat
From playlist Trigonometry: Dynamic Interactives!
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From playlist Trigonometry (old videos)
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From playlist Workshop: Probabilistic and variational methods in kinetic theory
What Is a radian? Coffee ☕️ + Desmos 🙂 this AM = https://www.desmos.com/calculator/bcgjcpci3k. Also added to https://teacher.desmos.com/activitybuilder/custom/60742b18afd8ae0d274b6efb.
From playlist Desmos Activities, Illustrations, and How-To's
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From playlist Solutions to Bi-weekly Physics Problems
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From playlist Back to School - Expanded
Spectacular Red Emulsion #Shorts
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From playlist Rad Chemistry Experiments
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From playlist Maths for physics
Radians I: A Change in Perspective and Circular Arcs
Are you interested in math or physics tutoring for you or someone you know? Please check out my website for more details of my registered business, or give me a call or email anytime! https://www.whatthehectogon.com/ +1 (973) 597-8775 sam@whatthehectogon.com In this video, I introduce th
From playlist Trigonometry
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From playlist Metauni
This lecture is part of an online course on Category theory This is the introductory lecture, where we give a few examples of categories and define them. The lectures were originally part of a graduate algebra course, and give a quick overview of the basic category theory that is useful
From playlist Categories for the idle mathematician
A Sensible Introduction to Category Theory
Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure? Today, in this introduction to the basics of category theory, I attempt to remove it. 27 Unhelpful Facts About Category Theory: https://www.youtube.com/watch?v=H0Ek86
From playlist Mathematics
Schemes 10: Morphisms of affine schemes
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We try to define morphisms of schemes. The obvious definition as morphisms of ringed spaces fails as we show in an example. Instead we have to use the more su
From playlist Algebraic geometry II: Schemes
AMMI 2022 Course "Geometric Deep Learning" - Lecture 11 (Beyond Groups) - Petar Veličković
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From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)
Clément Maria (10/23/19): Parameterized complexity of quantum invariants of knots
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From playlist AATRN 2019
Schemes 41: Morphisms to projective space
This lecture is part of an online course on algebraic geometry based on chapter II of "algebraic geometry" by Hartshorne. We discuss morphisms of a scheme to projective space, showing that they correspond to a line bundle with a set of sections generating it.
From playlist Algebraic geometry II: Schemes
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