Order theory

Related lectures (26)

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Covers the operations in rings, ideals, classes, and quotient rings.

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

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Explores the construction of quotient rings and the properties of well-defined operations within rings.

Explores the concept of a commutative semi-ring based on set theory properties.

Covers the properties of subtraction and the distributivity of multiplication.

Explains the importance of parentheses in integer operations and how to simplify calculations using properties.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.

Introduces the definition and examples of A-modules, including sub-modules and ideals.