نوع مقاله : مقاله پژوهشی
نویسنده
دانشگاه شهید چمران اهواز گروه ریاضی
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسنده [English]
Let λ be an infinite regular cardinal and A be a locally λ-presentable additive category. It is shown that the class of all λ-pure short sequences in A induces an exact structure on A. Furthermore, we will show that any λ-pure short sequence is a λ-directed colimit of split sequences. In the case in which C is a class of objects in A which is closed under isomorphisms, we prove that C is closed under λ-directed colimits if and only if it is closed under λ-pure homomorphic images.
کلیدواژهها [English]
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