Algebraic structures form the backbone of modern abstract algebra, encapsulating a wide range of systems such as groups, rings, fields, and modules, each characterised by distinct axiomatic properties ...

Let $Z/n$ denote the integers $\operatorname{mod} n$ and let $\mathscr{F}_n$ denote the finite Fourier transform on $L^2(Z/n)$. We let $\bigoplus\Sigma \mathscr{F}_n ...

Let à denote a smooth compactification of the k-fold fiber product of the universal family A1 → M of elliptic curves with level N structure. The purpose of this ...

The purpose of all of the developmental mathematics courses is to support student success academically and beyond by advancing critical thinking and reasoning skills. Specifically in Algebra II, as a ...