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Lecture
The Legacy of Rome: Honor and Freedom
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Related lectures (32)
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Generators of Ideals
Explores the calculation of generators of ideals and their significance in mathematical operations.
Dedekind Rings and Fractional Ideals
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Principal Ideal Domains: Structure and Homomorphisms
Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.
Ring Constructions: Structure Theorems
Explores operations on ideals and structure theorems in commutative rings.
Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Prime ideals and local rings
Covers the concept of prime ideals and local rings, emphasizing their importance.
Polynomials on a Field: Properties and Applications
Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.
Localization and Ideals
Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.
Primary and Secondary Ideals
Covers the concept of primary and secondary ideals, focusing on uniqueness and invariance properties.
Primary Decomposition in Rings
Explores primary decomposition in rings, focusing on primary ideals and their properties.
