abstract algebra

Congruence Relation

A congruence relation is an equivalence relation that preserves the operations within an algebraic structure, like addition or multiplication in…

4 days ago

Category Theory

Category theory is a branch of mathematics that abstracts algebraic structures and their relationships. It offers a unifying framework across…

4 days ago

Category Theory: A Foundation for Mathematical Structures

A category is a fundamental structure in mathematics and logic, comprising objects and the relationships (morphisms) between them. It provides…

4 days ago

Close Pairs in Mathematics and Computing

Close pairs, also known as conjugate pairs, represent a fundamental concept in abstract algebra and analysis. They describe relationships between…

6 days ago