Fractional Elements and Equivalence Relations

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

Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

Explores operations on ideals and structure theorems in commutative rings.

Covers primary decomposition in commutative rings and its application in prime ideals.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.

Explores rings, domains, fields, and ideals, with a focus on constructions and properties.

Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.

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