Algebra and Number Theory
Exploring the fundamental structures of mathematical systems and the properties of integers.…
Topos Theory: A Generalized Set Theory
Topos theory generalizes set theory using abstract frameworks. It defines mathematical structures…
Surjection: Understanding Onto Functions
A surjection, or onto function, ensures every element in the target set…
Monomorphism in Category Theory
A monomorphism is a left-cancellable morphism in category theory. If f ∘…
Homomorphism: Preserving Structure in Algebraic Systems
A homomorphism is a structure-preserving map between algebraic structures of the same…
Endomorphism: Preserving Structure in Mathematical Objects
An endomorphism is a structure-preserving function mapping a mathematical object to itself.…
Distributivity in Algebra
Distributivity describes how one binary operation can be applied across another within…
Coreflexivity: Understanding Self-Relation in Binary Relations
Coreflexivity, a property of binary relations, asserts that every element within the…