Concept
Maximal ideal
Related lectures (107)
Rings and Ideals
Explores rings, domains, fields, and ideals, with a focus on constructions and properties.
Ideals in Commutative Rings
Covers the concept of ideals in commutative rings and their role in ring homomorphisms.
Rankine Cycles: Basics and Energy Balances
Covers the basic concept of Rankine cycles, energy balances, improvements, and limitations.
Principal Ideal Domains: Structure and Homomorphisms
Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.
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.
Prime ideals and local rings
Covers the concept of prime ideals and local rings, emphasizing their importance.
Calcul and algorithms: first algorithm example
Covers finding the maximum value in a list and related problems.
Affine Varieties and Hypersurfaces
Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.
Construction of Quotient Rings
Explores the construction of quotient rings and the properties of well-defined operations within rings.
Decomposition of Group Algebras
Covers examples of group algebra decomposition and simple infinite-dimensional algebras.