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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We also gives a necessary condition for an LCA group to be s-pure projective in £.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:A subgroup H of a locally compact abelian (LCA) group G is called s-pure if H nG = H for every positive integer n.
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Temel Bulgular & Veri:A proper short exact sequence 0→A→φ B→C→0 in the category of LCA groups is said to be s-pure if φ(A) is an s-pure subgroup of G.
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Sonuç & Katkı:We also gives a necessary condition for an LCA group to be s-pure projective in £.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:s-pure injective · s-pure projective · s-pure extension
Abstract
A subgroup H of a locally compact abelian (LCA) group G is called s-pure if H nG = H for every positive integer n. A proper short exact sequence 0→A→φ B→C→0 in the category of LCA groups is said to be s-pure if φ(A) is an s-pure subgroup of G. We establish conditions under which the s-pure exact sequences split and determine those LCA groups which are s-pure injective. We also gives a necessary condition for an LCA group to be s-pure projective in £.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ALIJANI, A., H.SAHLEH, H. (2022). s-pure extensions of locally compact abelian groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 5, 1125–1132. https://ajindex.com/articles/530236