Integration is the inverse process to differentiation. Some people call it anti-differentiation. Instead of multiplying the power at the front and subtracting one from the power, we add one to the ...

Algebraic expressions can be simplified by collecting like terms. Positive like terms are often written before the negative like terms. When grouping the like terms together, the order does not matter ...

One of the main theorems of the paper states the following. Let R-K-M be finite extensions of a rational one variable function field R over a finite field of constants. Let S be a finite set of ...

Commutative algebra and algebraic geometry form a deeply interwoven field that investigates the structure of polynomial rings, their ideals, and the geometric objects defined by these algebraic sets.