👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the ...

In algebra, letters are used when numbers are not known. Algebraic terms, such as \(2s\) or \(8y\), leave the multiplication signs out. So rather than \(2 \times s\), write \(2s\), and rather than \(8 ...

Algebraic structures—such as groups, rings, modules, Lie algebras and their generalisations—provide a unifying language for diverse areas of mathematics and theoretical physics. Cohomological methods ...

👉 Learn how to write an algebraic expression from verbal sentences as well as writing out a sentence from an algebraic expression. To do this we need to know what words we use to express operations ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

One or more characters or symbols associated with algebra; for example, A+B=C or A/B. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction requires permission.

Representation theory studies the ways in which abstract algebraic objects—groups, rings, algebras and categories—can act by linear transformations on vector spaces or modules. By encoding an ...

News of a subtle quadratic equation breakthrough has brought algebra forward from the very back of many people’s minds, and algebra is always part of the “when will I ever use this?” rubric people use ...