An abelian category is a category that allows the generalization of certain algebraic structures, where every morphism has a kernel and cokernel, and where every monomorphism is a kernel of some morphism and every epimorphism is a cokernel of some morphism. This structure enables the application of homological algebra techniques to study properties like exact sequences and cohomology. Abelian categories serve as a bridge connecting various areas of mathematics, making them an essential framework for understanding complex structures.
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