On λ-pure exact structure

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Hosseini Esmaeil

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Journal Paper

Paper Information

Journal: Journal of Advanced Mathematical Modeling Year:2024 | Volume:14 | Issue:3 Page(s): 54-70

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Information Journal Paper

Title

On λ-pure exact structure

Author(s)

Hosseini Esmaeil | Issue Writer Certificate

Keywords

Locally λ-presentable category

λ-pure morphism

Abstract

Let λ be an infinite regular cardinal and A a locally λ-presentable additive category. We show that any λ-pure morphism (resp. λ-pure quotient) in A creates a kernel-cokernel pair. This implies that the class of all λ-pure kernel-cokernel pairs in A forms an exact structure. Additionally, we will describe λ-pure kernel-cokernel pairs in A and will prove that any λ-directed diagram of objects in A induces a canonical λ-pure kernel-cokernel pair.

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