Noncommutative ring

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Related lectures (30)

Idempotent Elements and Central Orthogonal

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

Fractional Elements and Equivalence Relations

Explores fractional elements, equivalence relations, and injective mappings in commutative rings.

Rings and Modules: Color Codes and Homological Algebra

Covers rings and modules, emphasizing color codes and homological algebra concepts.

Finite Fields and Vector Spaces

Explores finite fields, vector spaces, commutative groups, and field properties, highlighting their significance in coding theory and algebraic computations.

Commutation Groups: Euler's Totient Function

Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Multiplication: Properties and Definitions

Explains the definition and properties of integer multiplication in various scenarios.

Commutative Rings and Fields

Covers commutative rings, fields, injective morphisms, characteristic, Frobenius, and binomial theorem.

Fermat's Equation: Integral Solutions and Gaussian Integers

Discusses Fermat's equation and Gaussian integers' properties.

Algebraic Structures of Morphism Spaces

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

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