User:Trieu/Books/Abstract algebra 1
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Mathematics
[edit]Abstract algebra 1
[edit]- Abstract algebra
- Algebraic structure
- Group (mathematics)
- Ring (mathematics)
- Field (mathematics)
- Module (mathematics)
- Algebra over a field
- Subobject
- Subgroup
- Subring
- Subalgebra
- Binary operation
- Closure (mathematics)
- Associative property
- Distributive property
- Commutative property
- Unary operation
- Additive inverse
- Multiplicative inverse
- Inverse element
- Identity element
- Cancellation property
- Operation (mathematics)
- Arity
- Homomorphism
- Kernel (algebra)
- Cokernel
- Image (mathematics)
- Coimage
- Epimorphism
- Monomorphism
- Isomorphism
- Isomorphism theorem
- Direct sum
- Direct limit
- Direct product
- Inverse limit
- Quotient group
- Quotient ring
- Quotient module
- Tensor product
- Category theory
- Category of groups
- Category of abelian groups
- Category of rings
- Category of modules
- Morita equivalence
- Filtration (mathematics)
- Exact sequence
- Functor
- Zorn's lemma
- Semigroup
- Free monoid
- Green's relations
- Krohn–Rhodes theory
- Monoid ring
- Transformation semigroup
- Monoid
- Aperiodic semigroup
- Monoid (category theory)
- Monoid factorisation
- Syntactic monoid