Let $U$ be an open semi-algebraic subset of $\mathbf{R}^n$ and let $X$ be a closed analytic subset of $U$ which is also a semi-algebraic set (e.g., $U = \mathbf{R}^n ...

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

In math, Algebra 1 is a make-or-break course. The class is the gateway to high school math, and struggling to complete it can close off those higher-level pathways—and even jeopardize students’ ...