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Module theory
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Words: 542
Articles: 21
Module theory extends linear algebra by allowing scalars from a ring rather than only a field.
Table of contents
542
21
Primary decomposition theorem for finitely generated modules over a principal ideal domain
Module theory
32
Module over a ring
Module theory
48
1
Submodule
Module over a ring
25
Quotient module
Module theory
19
Free module
Module theory
136
4
Basis of a module
Free module
32
Universal property of a free module
Free module
29
Rank of a free module
Free module
23
Invariant basis number for a commutative ring
Free module
29
Torsion-free module
Module theory
19
Projective module
Module theory
38
1
Free modules are projective
Projective module
18
Cyclic module
Module theory
12
Irreducible module
Module theory
41
1
Simple module over a commutative ring
Irreducible module
25
Annihilator of a module
Module theory
15
Structure theorem for finitely generated modules over a principal ideal domain
Module theory
166
4
Finitely generated torsion-free module over a principal ideal domain
Structure theorem for finitely generated modules over a principal ideal domain
85
1
Classification of integral matrices satisfying the third cyclotomic polynomial
Finitely generated torsion-free module over a principal ideal domain
57
Elementary divisor
Structure theorem for finitely generated modules over a principal ideal domain
19
Indecomposable finite abelian groups
Structure theorem for finitely generated modules over a principal ideal domain
42
Ancestors
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Commutative algebra
Algebra
Area of mathematics
Mathematics
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