Commutative algebra

G-ring

In commutative algebra, a G-ring or Grothendieck ring is a Noetherian ring such that the map of any of its local rings to the completion is regular (defined below). Almost all Noetherian rings that occur naturally in algebraic geometry or number theory are G-rings, and it is quite hard to construct examples of Noetherian rings that are not G-rings. The concept is named after Alexander Grothendieck. A ring that is a both G-ring and a J-2 ring is called a quasi-excellent ring, and if in addition it is universally catenary it is called an excellent ring. (Wikipedia).

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What is a G Chord?

A review of the notes common to all formations of a G chord.

From playlist Music Lessons

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What is an E Chord?

An E chord is a combination of 3 notes: E, B and G#

From playlist Music Lessons

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What is a B Chord?

All B major chords are a combination of B, D# and F#

From playlist Music Lessons

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What is an F Chord?

All F chords are made from different permutations and combinations of the F,C and A notes

From playlist Music Lessons

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In some very special way I still remain loyal to this brand,yet another spectaculary meaningful ad from O&M..gd going

From playlist Advertisements

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Your Career

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist Your Career

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Cover Letters

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist Cover Letters

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Machine Learning

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist Machine Learning

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Rings and modules 2: Group rings

This lecture is part of an online course on rings and modules. We decribe some examples of rings constructed from groups and monoids, such as group rings and rings of Dirichlet polynomials. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52XDLrm

From playlist Rings and modules

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From playlist HIM Lectures: Junior Trimester Program "Topology"

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From playlist Rings and modules

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Visual Group Theory, Lecture 7.1: Basic ring theory

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From playlist Visual Group Theory

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From playlist Group Algebras, Representations And Computation

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From playlist Rings and modules

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Visual Group Theory, Lecture 7.3: Ring homomorphisms

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From playlist Visual Group Theory

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Commutative algebra 13 (Topology of Spec R)

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From playlist Commutative algebra

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Chapter 4 - Solving Linear Equations with Technology - IB Math Studies (Math SL)

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From playlist IB Math Studies Chapter 4

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From playlist Fundamentals of Mathematics

Related pages

Commutative algebra | Number theory | Field (mathematics) | Popescu's theorem | Algebraic geometry | Noetherian ring | Regular ring | Alexander Grothendieck | Excellent ring | J-2 ring