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Irreducible Components: Definition, Properties and Applications


Jérémy Celse

In mathematics, specifically in algebraic geometry, an irreducible component refers to a subset of a space that is not the union of two proper subsets, each of which is itself closed. In other words, an irreducible component is a maximal subset that cannot be decomposed into smaller closed subsets. In this article, we will explore the concept of irreducible components in depth and provide some examples to help illustrate the concept.

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