Qinghua Chen
Abstract
Study the relation between the pushouts category of Abelian category and the trivial extension of Abelian category and prove that the trivial extension of the pushouts category of Abelian category is isomorphic to the pushouts category of the trivial extension of Abelian category.
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Study the relation between the pushouts category of Abelian category and the trivial extension of Abelian category and prove that the trivial extension of the pushouts category of Abelian category is isomorphic to the pushouts category of the trivial extension of Abelian category.
Key concepts: Mathematics, Abelian category, Abelian group, Extension (predicate logic), Pure mathematics, Closed category, Algebra over a field, Computer science