短正合列的性质
The Nature of Short Exact Sequence
DOI: 10.12677/PM.2020.108085, PDF,   
作者: 范宏涛：南昌航空大学，数学与信息科学学院，江西 南昌
关键词: 短正合列；链复形；同调序列；Short Exact Sequence； Chain Complex； Homology Sequence
摘要: 本文对链复形和链映射组成的短正合列进行研究。在短正合列上定义了同调序列的边缘同态，证明了它的合理性。利用链复形和链映射组成的短正合列和所定义的边缘同态，引出了正合同调序列和同调序列的自然性，并给出了证明。
Abstract: In this paper, the short exact sequence composed of chain complex and chain mapping is studied. The edge homomorphism of homology sequence is defined and the proof of good definition is given. By using the short exact sequence composed of chain complex and chain map and the defined edge homomorphism, the naturalness of the positive congruent sequence and the homology sequence is derived and proved.
文章引用：范宏涛. 短正合列的性质[J]. 理论数学, 2020, 10(8): 719-725. https://doi.org/10.12677/PM.2020.108085

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