Linear algebra
Content created by Egbert Rijke, Fredrik Bakke, Louis Wasserman, Jonathan Prieto-Cubides, malarbol, Fernando Chu and Garrett Figueroa.
Created on 2022-03-12.
Last modified on 2025-08-11.
Modules in the linear algebra namespace
module linear-algebra where open import linear-algebra.constant-matrices public open import linear-algebra.constant-tuples public open import linear-algebra.dependent-products-left-modules-rings public open import linear-algebra.diagonal-matrices-on-rings public open import linear-algebra.finite-sequences-in-commutative-monoids public open import linear-algebra.finite-sequences-in-commutative-rings public open import linear-algebra.finite-sequences-in-commutative-semirings public open import linear-algebra.finite-sequences-in-euclidean-domains public open import linear-algebra.finite-sequences-in-monoids public open import linear-algebra.finite-sequences-in-rings public open import linear-algebra.finite-sequences-in-semirings public open import linear-algebra.functoriality-matrices public open import linear-algebra.left-modules-rings public open import linear-algebra.linear-maps-left-modules-rings public open import linear-algebra.matrices public open import linear-algebra.matrices-on-rings public open import linear-algebra.multiplication-matrices public open import linear-algebra.preimages-of-left-module-structures-along-homomorphisms-of-rings public open import linear-algebra.rational-modules public open import linear-algebra.right-modules-rings public open import linear-algebra.scalar-multiplication-matrices public open import linear-algebra.scalar-multiplication-tuples public open import linear-algebra.scalar-multiplication-tuples-on-rings public open import linear-algebra.transposition-matrices public open import linear-algebra.tuples-on-commutative-monoids public open import linear-algebra.tuples-on-commutative-rings public open import linear-algebra.tuples-on-commutative-semirings public open import linear-algebra.tuples-on-euclidean-domains public open import linear-algebra.tuples-on-monoids public open import linear-algebra.tuples-on-rings public open import linear-algebra.tuples-on-semirings public
Recent changes
- 2025-08-11. malarbol and Garrett Figueroa. Ring extensions of
ℚ
and rational modules (#1452). - 2025-08-07. Louis Wasserman. Dependent products of left modules over rings (#1465).
- 2025-07-27. malarbol. Some standard results on rings and modules (#1454).
- 2025-06-03. Louis Wasserman. Sums and products over arbitrary finite types (#1367).
- 2025-05-18. Louis Wasserman and malarbol. Linear maps over modules (#1395).