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on λ-pure exact structure
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نویسنده
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hosseini esmaeil
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منبع
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مدل سازي پيشرفته رياضي - 2024 - دوره : 14 - شماره : 3 - صفحه:54 -70
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چکیده
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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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کلیدواژه
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locally λ-presentable category ,λ-pure monomorphism ,λ-pure epimorphism
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آدرس
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shahid chamran university of ahvaz, faculty of mathematical sciences and computer, department of mathematics, iran
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پست الکترونیکی
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e.hosseini@scu.ac.ir
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on λ-pure exact structure
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Authors
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Abstract
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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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Keywords
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locally λ-presentable category ,λ-pure monomorphism ,λ-pure epimorphism
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