Homological algebra and representation theory form a powerful confluence in modern mathematics. Homological algebra provides a framework for analysing algebraic structures via chain complexes, ...

Algebraic representation theory and cluster categories constitute a vibrant research area that bridges abstract algebra, category theory and combinatorics. In this field, algebraic structures are ...

Unlike other elementary and middle school mathematics courses, algebra begins to introduce abstract relationships and ideas. While textbooks attempt to give students real-world illustrations of these ...

Algebra teachers should show students both correctly and incorrectly solved problems and have students discuss them, according to a new algebra practice guide published by the U.S. Department of ...

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' ...