Faster access than browser!Similarities between Abelian group and Splitting lemma
Abelian group and Splitting lemma have 4 things in common (in Unionpedia): Abelian category, Cokernel, Group homomorphism, Linear algebra.
Abelian category
In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties.
Abelian category and Abelian group · Abelian category and Splitting lemma ·
Cokernel
In mathematics, the cokernel of a linear mapping of vector spaces f: X → Y is the quotient space Y/im(f) of the codomain of f by the image of f. The dimension of the cokernel is called the corank of f. Cokernels are dual to the kernels of category theory, hence the name: the kernel is a subobject of the domain (it maps to the domain), while the cokernel is a quotient object of the codomain (it maps from the codomain).
Abelian group and Cokernel · Cokernel and Splitting lemma ·
Group homomorphism
In mathematics, given two groups, (G, ∗) and (H, ·), a group homomorphism from (G, ∗) to (H, ·) is a function h: G → H such that for all u and v in G it holds that where the group operation on the left hand side of the equation is that of G and on the right hand side that of H. From this property, one can deduce that h maps the identity element eG of G to the identity element eH of H, and it also maps inverses to inverses in the sense that Hence one can say that h "is compatible with the group structure".
Abelian group and Group homomorphism · Group homomorphism and Splitting lemma ·
Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
Abelian group and Linear algebra · Linear algebra and Splitting lemma ·
The list above answers the following questions
- What Abelian group and Splitting lemma have in common
- What are the similarities between Abelian group and Splitting lemma
Abelian group and Splitting lemma Comparison
Abelian group has 128 relations, while Splitting lemma has 24. As they have in common 4, the Jaccard index is 2.63% = 4 / (128 + 24).
References
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