Ideals (ring theory) | Ring theory
In mathematics, more specifically ring theory, the Jacobson radical of a ring is the ideal consisting of those elements in that annihilate all simple right -modules. It happens that substituting "left" in place of "right" in the definition yields the same ideal, and so the notion is left-right symmetric. The Jacobson radical of a ring is frequently denoted by or ; the former notation will be preferred in this article, because it avoids confusion with other radicals of a ring. The Jacobson radical is named after Nathan Jacobson, who was the first to study it for arbitrary rings in. The Jacobson radical of a ring has numerous internal characterizations, including a few definitions that successfully extend the notion to rings without unity. The radical of a module extends the definition of the Jacobson radical to include modules. The Jacobson radical plays a prominent role in many ring and module theoretic results, such as Nakayama's lemma. (Wikipedia).
How do you attach alkyl groups to benzene rings? The Friedel-Crafts reaction is one way. This is one of the Electrophilic Aromatic substitutions we will examine. Watch the whole Organic Chemistry playlist: http://bit.ly/ProfDaveOrgChem General Chemistry Tutorials: http://bit.ly/ProfDaveG
From playlist Organic Chemistry
Electrophilic Aromatic Substitution
Electrophilic Aromatic Substitution is one thing that benzene does. The mechanisms are getting trickier, no? Don't worry, practice makes perfect. From halogenation to Friedel-Crafts alkylation, this is a handy family of reactions. Watch the whole Organic Chemistry playlist: http://bit.ly/
From playlist Organic Chemistry
One of the most important name reactions is the Mannich reaction, named after German chemist Carl Mannich, who developed it in 1912. In its original form, this takes formaldehyde, an enolizable ketone, and a secondary amine, and produces a molecule with both ketone and amine functionality.
From playlist Organic Chemistry
Allylic/Benzylic Bromination With N-Bromo Succinimide (NBS)
We've learned about radical bromination for alkanes, but there is another method of radical bromination that can be applied to allylic and benzylic systems. This utilizes the reagent NBS, and it can be a useful synthetic technique. Let's check out the transformation this induces as well as
From playlist Organic Chemistry
What's a halohydrin, how do we form them, and what do they do? Find out in this clip! Watch the whole Organic Chemistry playlist: http://bit.ly/ProfDaveOrgChem General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutoria
From playlist Organic Chemistry
Nakayama's Lemma - April 12 2021
This is a video from by Abstract Algebra 4 course that took place in Spring 2021.
From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
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From playlist Classical Liberalism | Big Think
Organic Chemistry mechanism for the Dess-Martin Oxidation My Chemistry Channel: www.youtube.com/c/CasualChemistry
From playlist Organic Chemistry Mechanisms
How are alkanes halogenated? Look and see. It has to do with free radicals, of course. Watch the whole Organic Chemistry playlist: http://bit.ly/ProfDaveOrgChem General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutori
From playlist Organic Chemistry
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DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
IUPAC Nomenclature of Haloalkanes and Alcohols
More IUPAC nomenclature! Here we look at alkanes with halogen and hydroxyl substituents. Dave loves alcohols. Learn Organic Chemistry the easy way with Professor Dave! Watch the whole Organic Chemistry playlist: http://bit.ly/ProfDaveOrgChem General Chemistry Tutorials: http://bit.ly/Pro
From playlist Organic Chemistry
Commutative algebra 35 Nakayama's lemma
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. This lecture is about Nakayama's lemma, which states that if M is a finitely generated module over a local ring with maximal i
From playlist Commutative algebra
Gary Walsh: On binary quartic Thue equations and related topics
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From playlist Virtual Conference
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Learn Abstract Algebra from START to FINISH
In this video I talk about how to learn abstract algebra from start to finish. I go over some books which you can use to help you learn abstract algebra from the very basics all the way to graduate level abstract algebra. My Udemy Course on Abstract Algebra https://www.udemy.com/course/a
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Racism, Antisemitism and the Radical Right - Panel 1: Border Crossings
The goal of this conference is to map various domestic and foreign iterations of the current far-right, racist, and/or antisemitic ethos, to explore their ideologies and ideas, to consider the features they share in common, as well as their divergences and tensions. Chair: Matthew Frye J
From playlist Racism, Antisemitism and the Radical Right - Conference at Yale
Cayley Hamilton - April 09 2021
This is for my abstract algebra 4 course.
From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
Nucleophilic Aromatic Substitution
We've learned all about Electrophilic Aromatic Substitution, but we can do another thing with benzene derivatives. We can do Nucleophilic Aromatic Substitution. This is where benzene is attacked by a nucleophile. It sounds strange, but check it out! Watch the whole Organic Chemistry playl
From playlist Organic Chemistry
Quantum Mechanics of the Electron
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From playlist General Chemistry
Tobias Moede - Coclass theory for nilpotent associative algebras
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From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory