關(guān)于半對偶化模的Gorenstein模的穩(wěn)定性(英文)
發(fā)布時間:2018-12-08 16:03
【摘要】:本文研究了相對于半對偶化模C的Gorenstein模(即Gorenstein C-投射模,Gorenstein C-內(nèi)射模和Gorenstein C-平坦模)的穩(wěn)定性的問題.利用同調(diào)的方法,獲得了Gorenstein C-投射(C-內(nèi)射,C-平坦)模具有很好的穩(wěn)定性的結(jié)果,推廣了Gorenstein投射(內(nèi)射,平坦)模具有很好的穩(wěn)定性的結(jié)果.
[Abstract]:In this paper, we study the stability of Gorenstein modules (that is, Gorenstein C- projective modules, Gorenstein C- injective modules and Gorenstein C- flat modules) relative to semi-dual modules C. By using the homology method, the results of good stability of Gorenstein C- projection (C- injective, C- flat) die are obtained, and the results of Gorenstein projection (injective, flat) mold are generalized.
【作者單位】: 西北師范大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;
【基金】:Supported by National Natural Science Foundation of China(11561061;11261050)
【分類號】:O153.3
[Abstract]:In this paper, we study the stability of Gorenstein modules (that is, Gorenstein C- projective modules, Gorenstein C- injective modules and Gorenstein C- flat modules) relative to semi-dual modules C. By using the homology method, the results of good stability of Gorenstein C- projection (C- injective, C- flat) die are obtained, and the results of Gorenstein projection (injective, flat) mold are generalized.
【作者單位】: 西北師范大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;
【基金】:Supported by National Natural Science Foundation of China(11561061;11261050)
【分類號】:O153.3
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