difference algebra造句

If R is a difference algebra over K the solutions of F in R are
A difference algebra which is a field is called a " difference field extension ".
For example, there is a proof of the Manin-Mumford conjecture using methods of difference algebra.
The role of difference rings in difference algebra is similar to the role of commutative rings in commutative algebra and algebraic geometry.
Difference algebra is related to many other mathematical areas, such as discrete dynamical systems, combinatorics, number theory or model theory.
It's difficult to find difference algebra in a sentence. 用difference algebra造句挺难的

One of the basic theorems in difference algebra asserts that every ascending chain of perfect difference ideals in K \ { y \ } is finite.
While some real life problems, such as population dynamics, can be modeled by algebraic difference equations, difference algebra also has applications in pure mathematics.
It becomes a difference algebra over K by extending \ sigma from K to K \ { y \ } as suggested by the naming of the variables.
A " difference algebra " over a difference field K is a difference ring R with a K-algebra structure such that K \ to R is a morphism of difference rings, i . e . \ sigma \ colon R \ to R extends \ sigma \ colon K \ to K.