Ideal (order theory)

Related lectures (31)

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Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Discusses the form and stability of arches, emphasizing shape importance and load effects.

Covers the concept of primary and secondary ideals, focusing on uniqueness and invariance properties.

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Covers the operations and properties of rings, focusing on ideals and quotients.

Explores primary decomposition in rings, focusing on primary ideals and their properties.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.