Commutative algebra | Homological algebra

Bass number

In mathematics, the ith Bass number of a module M over a local ring R with residue field k is the k-dimension of . More generally the Bass number of a module M over a ring R at a prime ideal p is the Bass number of the localization of M for the localization of R (with respect to the prime p). Bass numbers were introduced by Hyman Bass . The Bass numbers describe the minimal injective resolution of a finitely-generated module M over a Noetherian ring: for each prime ideal p there is a corresponding indecomposable injective module, and the number of times this occurs in the ith term of a minimal resolution of M is the Bass number . (Wikipedia).

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Whole Number Playlist Intro

This is just a placeholder to introduce all the videos in this playlist.https://www.youtube.com/playlist?list=PLvolZqLMhJmnOJSzXv2I7DDu2aRa-FagD If you have any questions, please contact me at dhabecker@gmail.com

From playlist All About Whole Numbers

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My MegaFavorite Number is 9985920 #MegaFavNumbers

Patreon: https://www.patreon.com/ben27 #MegaFavNumbers

From playlist MegaFavNumbers

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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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MegaFavNumbers: RSA-2048

My own choice for a number over 1,000,000 is this 617 digit boy: 251959084756578934940271832400483985714292821262040320277771378360436620207075955562640185258807844069182906412495150821892985591491761845028084891200728449926873928072877767359714183472702618963750149718246911650776133798590

From playlist MegaFavNumbers

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Make your own number for #MegaFavNumbers

Every string is a number. Get the number for your string at https://angyongen.github.io/MegaFavoriteNumberGenerator/ or check out the code at https://github.com/angyongen/MegaFavoriteNumberGenerator

From playlist MegaFavNumbers

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How to Tune a Guitar

Sorry there is a bit of echo in the audio - I needed a piano for this video and it happened to be in a room with an echo! 0. Learn Guitar With Me! http://youtu.be/RkbjE0eqmus 1. Acoustic Guitars: What are the differences? http://youtu.be/wqN_DT7fJZA 2. Guitar Gear http://youtu.be/EMaYjbS

From playlist Guitar

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Acoustic Guitars: What are the differences?

I had to stop recording in the middle because my light ran out of battery! Here are links to the entire series: 0. Learn Guitar With Me! http://youtu.be/RkbjE0eqmus 1. Acoustic Guitars: What are the differences? http://youtu.be/wqN_DT7fJZA 2. Guitar Gear http://youtu.be/EMaYjbS_xn4 3. Ho

From playlist Guitar

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Lecture 14. Ostinato Form in the Music of Purcell, Pachelbel, Elton John and Vitamin C

Listening to Music (MUSI 112) This lecture begins with a review of all the musical forms previously discussed in class: sonata-allegro, rondo, theme and variations, and fugue. Professor Wright then moves on to discuss the final form that will be taught before the students' next exam: osti

From playlist Listening to Music with Craig Wright

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Lecture 13. Fugue: Bach, Bizet and Bernstein

Listening to Music (MUSI 112) In this lecture, Professor Wright briefly explores the manifestations of the fugue form in poetry, painting, and other disciplines, and then gives a detailed explanation of how fugues are put together in music. Though he uses excerpts by composers as disparat

From playlist Listening to Music with Craig Wright

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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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Lecture 8. Bass Patterns: Blues and Rock

Listening to Music (MUSI 112) In this lecture, Professor Wright teaches students how to listen for bass patterns in order to understand harmonic progressions. He talks through numerous musical examples from both popular music and classical music, showing the way that composers from both r

From playlist Listening to Music with Craig Wright

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Stefano Marseglia, Computing isomorphism classes of abelian varieties over finite fields

VaNTAGe Seminar, February 1, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Honda: https://doi.org/10.2969/jmsj/02010083 Tate: https://link.springer.com/article/10.1007/BF01404549 Deligne: https://eudml.org/doc/141987 Hofmann, Sircana: https://arxiv.org/ab

From playlist Curves and abelian varieties over finite fields

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Lecture 7. Harmony: Chords and How to Build Them

Listening to Music (MUSI 112) Professor Wright explains the way harmony works in Western music. Throughout the lecture, he discusses the ways in which triads are formed out of scales, the ways that some of the most common harmonic progressions work, and the nature of modulation. Professor

From playlist Listening to Music with Craig Wright

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The Key of G

From playlist Guitar

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Schubert - Ave Maria

I uploaded this when I was 16, lol. Full Name: Ellen's Third Song, D. 839, Op. 52, No. 6. Sung by: Barbara Bonney.

From playlist Brilliant Music

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Racism, Fascism and Jim Crow Military, as Seen Through the Testimony of Leon Bass

At the heart of the Nazis’ monstrous genocidal plot was the same otherization, bigotry and scapegoating that animated — and continues to animate — the white supremacy wielded against America’s African-Americans for generations. Black soldiers were on the front lines of the battle to stop t

From playlist Fortunoff Video Archive for Holocaust Testimonies

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Mathematics + Music & Museums (Interview with Damian McDonald)

The exhibition is open until 31 January 2021. More details here: https://maas.museum/event/maton-australias-guitar/

From playlist Interviews & Media

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Charles Bordenave: Compter et optimiser avec les graphes unimodulaires - 1

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Probability and Statistics

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Different Types of Numbers on the number line, lesson 1 #shorts

Watch the full playlist: https://www.youtube.com/watch?v=kcxK3_sROZA&list=PL14bv5vXK2WWuODhGbpPQA0GamV5ohOVb&index=1 Natural Numbers (N), (also called positive integers, counting numbers, or natural numbers); They are the numbers {1, 2, 3, 4, 5, …} Whole Numbers (W). This is the set of na

From playlist Celebrities Teach Math: The Number System

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17.3 Diffraction

This video covers Section 17.3 of Cutnell & Johnson Physics 10e, by David Young and Shane Stadler, published by John Wiley and Sons. The lecture is part of the course General Physics - Life Sciences I and II, taught by Dr. Boyd F. Edwards at Utah State University. This video was produced

From playlist Lecture 17A. Linear Superposition and Interference Phenomena

Related pages

Prime ideal | Injective module | Local ring | Mathematics | Noetherian ring | Ring (mathematics) | Module (mathematics) | Residue field