Concept

Additive inverse

Related lectures (18)

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explains the properties of addition and multiplication in Q with illustrative examples.

Covers basic properties of natural numbers, including order relations and inverses.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Explains inverse operations for addition and subtraction, including finding the inverse of a number.

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Covers properties and notation of the trivial group and discusses the uniqueness of elements.

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

Introduces the concept of adjoint functors in category theory, focusing on the characterization of adjunctions.

Introduces characters as group homomorphisms from linear algebraic groups to multiplicative groups.

Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers the basics of linear algebra, focusing on matrices and operations.

Explores adjunctions and mutual inverses alpha and beta in category theory.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.