👉 Non-refinement is a concept in the field of algebraic geometry and commutative algebra that refers to an object which cannot be expressed as the sum or product of two simpler objects. It is a fundamental concept in the study of varieties, schemes, and morphisms. In other words, it means that a nonrefinable object has no simple representatives or factorizations. The term originated from the fact that algebraic geometry can be seen as an attempt to understand how many different ways one can