You scrambled up a Rubik's cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. Most folks who have ...

Algebraic structures provide a comprehensive framework for understanding systems governed by operations such as addition and multiplication. In this context, noncommutative rings—where the order ...

Algebraic geometry deals primarily with solutions lying in an algebraically closed field, while arithmetic geometry deals with the more subtle study of solutions lying in a number field or its rings ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the ...