The use of the letter x as a mathematical unknown is a relatively modern convention. Algebra has been around for a lot longer. Daryl Benson/Stockbyte via Getty Images You might be most familiar with x ...

I’ve been working most of today on the foundations of my Modern Algebra course for the fall, which you will remember is being done without a required textbook. The last time I posted about this course ...

(The Conversation is an independent and nonprofit source of news, analysis and commentary from academic experts.) Surprise: You can answer this question with modern algebra. Most folks who have been ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

The study of Gorenstein algebras has emerged as a cornerstone of modern algebra, offering a powerful paradigm in which duality and symmetry in module theory can be rigorously examined. These algebras ...

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 ...

Symmetry is everywhere in our natural world. Just take a look at your hands, a butterfly, or a sunflower. It’s easy to pass off the idea of symmetry and symmetric structures as a simple quirk of ...