Ordered algebra generally refers to an algebraic structure that includes an order relation compatible with the algebraic operations defined on it. In mathematics, this concept often appears in the context of ordered sets, ordered groups, ordered rings, and ordered fields. 1. **Ordered Set**: An ordered set is a set equipped with a binary relation (usually denoted as ≤) that satisfies certain properties such as antisymmetry, transitivity, and totality.

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  1. Functional analysis
  2. Fields of mathematical analysis
  3. Mathematical analysis
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