Ideals (ring theory) | Algebraic number theory

Fractional ideal

In mathematics, in particular commutative algebra, the concept of fractional ideal is introduced in the context of integral domains and is particularly fruitful in the study of Dedekind domains. In some sense, fractional ideals of an integral domain are like ideals where denominators are allowed. In contexts where fractional ideals and ordinary ring ideals are both under discussion, the latter are sometimes termed integral ideals for clarity. (Wikipedia).

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Applications of analysis to fractional differential equations

I show how to apply theorems from analysis to fractional differential equations. The ideas feature the Arzela-Ascoli theorem and Weierstrass' approximation theorem, leading to a new approach for solvability of certain fractional differential equations. When do fractional differential equ

From playlist Mathematical analysis and applications

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From playlist Research in Mathematics

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👉 Learn how to understand the concept of fractions using parts of a whole. Fractions are parts of a whole and this concept can be illustrated using bars and circles. This concept can also be extended to understand equivalent fractions. When a whole bar is divided into, say, two equal parts

From playlist Learn About Fractions

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From playlist Fraction Concepts

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From playlist Introduction to Fractions

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Free ebook http://tinyurl.com/EngMathYT Example of how to integrate using partial fractions.

From playlist A second course in university calculus.

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Free ebook http://tinyurl.com/EngMathYT An example on how to integrate using partial fractions.

From playlist A second course in university calculus.

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From playlist [ANT] An unorthodox introduction to algebraic number theory

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From playlist A second course in university calculus.

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From playlist Algebraic geometry II: Schemes

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From playlist Summer of Math Exposition Youtube Videos

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From playlist New AP & General Chemistry Video Playlist

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From playlist Log Volume Computations

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From playlist Chemistry 1B: General Chemistry

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From playlist Curves and abelian varieties over finite fields

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From playlist MIT 5.60 Thermodynamics & Kinetics, Spring 2008

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From playlist Abstract Algebra

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From playlist CHEMISTRY 19 SOLUTIONS

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From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]

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From playlist A second course in university calculus.

Related pages

Field of fractions | Prime ideal | Integral domain | Mori domain | Class field theory | Ideal (ring theory) | Maximal ideal | Ring of integers | Exact sequence | Algebraic number field | Commutative algebra | Ascending chain condition | Quotient group | Projective module | Dedekind domain | Mathematics | Noetherian ring | Discrete valuation ring | Integrally closed domain | Local ring | Spectrum of a ring | Unique factorization domain | Finitely generated module | Abelian group | Ideal quotient | Ideal class group