Gorenstein homological complexes with respect to duality pairsOA
Let(X,Y)be a duality pair of complexes.In this article,we first introduce and investigate the notion of Gorenstein(X,Y)-injective complexes.Moreover,we establish a relationship between a Gorenstein(X,Y)-injective complex and its terms for some special duality pairs(X,Y).Finally,we obtain some equivalent characterizations of Gorenstein(X,Y)-injective dimensions of complexes.
Guan Jiaai;Lu Bo;Zhao Sixin
College of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,ChinaCollege of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,ChinaCollege of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,China
数理科学
Gorenstein(X,Y)-injective complexHomological propertyGorenstein(X,Y)-injective dimension
《中山大学学报(自然科学版)(中英文)》 2026 (4)
P.22-40,19
Supported by Young Talents Team Project of Gansu Province(2025QNTD49)National Natural Science Foundation of China(12061061)Fundamental Research Funds for the Central Universities(31920260074)Lanshan Talent Project of Northwest Minzu University(Xbmulsrc202412)University-level Innovation Team Project of Northwest Minzu University(10017633,11087633)。
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