# Category:Algebra

From Encyclopedia of Mathematics

- 06-XX Category:Order, lattices, ordered algebraic structures [See also 18B35]
- 08-XX Category:General algebraic systems
- 12-XX Category:Field theory and polynomials
- 13-XX Category:Commutative algebra rings and algebras
- 14-XX Category:Algebraic geometry
- 15-XX Category:Linear and multilinear algebra; matrix theory
- 16-XX Category:Associative rings and algebras {For the commutative case, see 13-XX}
- 17-XX Category:Nonassociative rings and algebras
- 18-XX Category theory; Category:Homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology}
- 19-XX Category:K-theory [See also 16E20, 18F25]
- 20-XX Category:Group theory and generalizations

(MSCwiki2010 codes)

## Subcategories

This category has the following 12 subcategories, out of 12 total.

### K

## Pages in category "Algebra"

The following 200 pages are in this category, out of 292 total.

(previous page) (next page)### A

- Abelian extension
- Abelian group
- Abelian variety
- Acyclic group
- Adele group
- Adjoint group
- Adjoint representation of a Lie group
- Adjugate matrix
- Affine hull
- Affine transformation
- Akivis algebra
- Albert algebra
- Algebra
- Algebraic extension
- Algebraic group
- Algebraic K-theory
- Algebraically closed field
- Algebraically closed group
- Ample field
- Anisotropic group
- Anti-chain
- Anti-isomorphism of rings
- Antitone mapping
- Artin-Schreier theorem
- Artinian ring
- Associative rings and algebras
- Atomic lattice

### B

- Baer–Specker group
- Balanced category
- Balanced ring
- Bilinear form
- Bilinear mapping
- Bimodule
- Binary icosahedral group
- Binary octahedral group
- Binary tetrahedral group
- Binomial ring
- Boolean equation
- Borel subgroup
- Brauer height-zero conjecture
- Bruhat decomposition
- Budan-Fourier theorem
- Bundle
- Burnside Lemma

### C

- Cartan matrix
- Cauchy Binet formula
- Central simple algebra
- Centre of a ring
- Character group
- Characteristic of a field
- Chevalley group
- Chow ring
- Classical group
- Clifford algebra
- Clifford theorem
- Co-algebra
- Cochain
- Cocyclic group
- Cofinal set
- Coherent sheaf
- Commutative group scheme
- Commutative ring
- Commutator subgroup
- Compact lattice element
- Compactly generated space
- Complete group
- Complete lattice
- Completely reducible group
- Completely-reducible module
- Complexification of a Lie algebra
- Composition
- Conductor of an integral closure
- Congruence subgroup
- Congruence subgroup problem
- Conjugate elements
- Core-compact space
- Cyclic vector

### D

### E

### F

### G

### I

### K

### L

- Lattice with complements
- Leibniz rule
- Length of a partially ordered set
- Leslie matrix
- Lexicographic order
- Lie algebra
- Lie algebra, nil
- Linear algebraic equation
- Linear algebraic group
- Linear hull
- Linear transformation
- Linearised polynomial
- Linearly-disjoint extensions
- Locally cyclic group
- Lojasiewicz inequality

### M

### N

**How to Cite This Entry:**

Algebra.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Algebra&oldid=20684