Module theory

Radical of a module

In mathematics, in the theory of modules, the radical of a module is a component in the theory of structure and classification. It is a generalization of the Jacobson radical for rings. In many ways, it is the dual notion to that of the socle soc(M) of M. (Wikipedia).

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Combining a radical expression

πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad

From playlist Add and Subtract Square Roots with Multiple Variables

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Combining radical expressions

πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad

From playlist Add and Subtract Square Roots with Multiple Variables

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Adding and subtracting a radical expression

πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad

From playlist Add and Subtract Square Roots with Multiple Variables

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Adding and subtracting a radical expression

πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad

From playlist Add and Subtract Square Roots with Multiple Variables

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Simplifying radical expressions and then combining them

πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad

From playlist Add and Subtract Square Roots with Multiple Variables

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Adding and Subtracting radical expressions

πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad

From playlist Add and subtract square roots with variables

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Multiplying the Square Root of Two Radical Expressions

πŸ‘‰ Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the roots retaining the same root, and then simplify the resu

From playlist Mulitply Square Root Expressions

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Adding and subtracting radical terms

πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad

From playlist Add and Subtract Square Roots with Multiple Variables

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Multiplying Two Radical Expressions

πŸ‘‰ Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the roots retaining the same root, and then simplify the resu

From playlist Mulitply Square Root Expressions

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Representation Theory(Repn Th) 5 by Gerhard Hiss

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

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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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algebraic geometry 9 The Lasker Noether theorem

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It describes the Lasker-Noether theorem expressing an ideal as an intersection of primary ideals.

From playlist Algebraic geometry I: Varieties

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Radicals of Ideals (and Geometry) - Feb 17, 2021 - Rings and Modules

We prove that the radical of an ideal is the intersection of primes containing it (I think). We also talk about the geometric meaning of the radical of an ideal.

From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]

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algebraic geometry 7 weak nullstellensatz

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It describes the weak nullstellensatz, giving the maximal ideals of polynomial rings over algebraically closed fields.

From playlist Algebraic geometry I: Varieties

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Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 5

The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation

From playlist Γ‰cole d'Γ‰tΓ© 2022 - Cohomology Geometry and Explicit Number Theory

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Noncommutative Geometric Invariant Theory (Lecture 2) by Arvid Siqveland

PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra

From playlist School on Cluster Algebras 2018

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Primes in high-dimensional equivariant settings - Rohit Nagpal

Short talks by postdoctoral members Topic: Primes in high-dimensional equivariant settings Speaker: Rohit Nagpal Affiliation: Member, School of Mathematics For more video please visit http://video.ias.edu

From playlist Mathematics

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Commutative algebra 29 The Lasker Noether theorem

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. We state and prove three versions of the Lasker-Noether theorem, the first expressing an ideal as an intersection of primary

From playlist Commutative algebra

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Subtracting two radical expressions with variable radicands

πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad

From playlist Add and subtract square roots with variables

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RIchard Hain

https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu

From playlist Mathematics

Related pages

Duality (mathematics) | Jacobson radical | If and only if | Socle (mathematics) | Mathematics | Simple module | V-ring (ring theory) | Finitely generated module | Cosocle | Quotient module | Intersection (set theory) | Ring (mathematics) | Module (mathematics) | Noetherian module