- Fields of mathematics
- >
- Algebra
- >
- Theorems in algebra
- >
- Lemmas in algebra

- Mathematical problems
- >
- Mathematical theorems
- >
- Lemmas
- >
- Lemmas in algebra

- Mathematical problems
- >
- Mathematical theorems
- >
- Theorems in algebra
- >
- Lemmas in algebra

- Mathematics
- >
- Mathematical theorems
- >
- Lemmas
- >
- Lemmas in algebra

- Mathematics
- >
- Mathematical theorems
- >
- Theorems in algebra
- >
- Lemmas in algebra

- Theorems
- >
- Mathematical theorems
- >
- Lemmas
- >
- Lemmas in algebra

- Theorems
- >
- Mathematical theorems
- >
- Theorems in algebra
- >
- Lemmas in algebra

Shapiro's lemma

In mathematics, especially in the areas of abstract algebra dealing with group cohomology or relative homological algebra, Shapiro's lemma, also known as the Eckmann–Shapiro lemma, relates extensions

Artin–Rees lemma

In mathematics, the Artin–Rees lemma is a basic result about modules over a Noetherian ring, along with results such as the Hilbert basis theorem. It was proved in the 1950s in independent works by th

Fitting lemma

The Fitting lemma, named after the mathematician Hans Fitting, is a basic statement in abstract algebra. Suppose M is a module over some ring. If M is indecomposable and has finite length, then every

Noether normalization lemma

In mathematics, the Noether normalization lemma is a result of commutative algebra, introduced by Emmy Noether in 1926. It states that for any field k, and any finitely generated commutative k-algebra

Bergman's diamond lemma

In mathematics, specifically the field of abstract algebra, Bergman's Diamond Lemma (after George Bergman) is a method for confirming whether a given set of monomials of an algebra forms a -basis. It

Artin–Tate lemma

In algebra, the Artin–Tate lemma, named after Emil Artin and John Tate, states: Let A be a commutative Noetherian ring and commutative algebras over A. If C is of finite type over A and if C is finite

Abhyankar's lemma

In mathematics, Abhyankar's lemma (named after Shreeram Shankar Abhyankar) allows one to kill tame ramification by taking an extension of a base field. More precisely, Abhyankar's lemma states that if

Hensel's lemma

In mathematics, Hensel's lemma, also known as Hensel's lifting lemma, named after Kurt Hensel, is a result in modular arithmetic, stating that if a univariate polynomial has a simple root modulo a pri

Nakayama's lemma

In mathematics, more specifically abstract algebra and commutative algebra, Nakayama's lemma — also known as the Krull–Azumaya theorem — governs the interaction between the Jacobson radical of a ring

Schwartz–Zippel lemma

In mathematics, the Schwartz–Zippel lemma (also called the DeMillo-Lipton-Schwartz–Zippel lemma) is a tool commonly used in probabilistic polynomial identity testing, i.e. in the problem of determinin

Zariski's lemma

In algebra, Zariski's lemma, proved by Oscar Zariski, states that, if a field K is finitely generated as an associative algebra over another field k, then K is a finite field extension of k (that is,

Gauss's lemma (polynomials)

In algebra, Gauss's lemma, named after Carl Friedrich Gauss, is a statement about polynomials over the integers, or, more generally, over a unique factorization domain (that is, a ring that has a uniq

Bhaskara's lemma

Bhaskara's Lemma is an identity used as a lemma during the chakravala method. It states that: for integers and non-zero integer .

Summation by parts

In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially) estimation of certain types of sums. It is

© 2023 Useful Links.