兰州理工大学学报

2020, v.46;No.206(06) 153-158

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投射余分解Gorenstein平坦复形
Projectively coresolved Gorenstein flat complexes

吴德军;赵自红;
WU De-jun;ZHAO Zi-hong;School of Science,Lanzhou Univ. of Tech.;

摘要(Abstract):

引入了投射余分解Gorenstein平坦复形的概念.证明了对任意结合环R,G是投射余分解Gorenstein平坦复形当且仅当每个层次的R-模G~m是投射余分解Gorenstein平坦模,其中?m∈Z.同时研究了投射余分解Gorenstein平坦复形的基本性质,并探讨了复形G的投射余分解Gorenstein平坦维数与每个层次的R-模G~m的投射余分解Gorenstein平坦维数的关系.
The concept of projectively coresolved Gorenstein flat complex is introduced. Over an arbitrary associate ring R, it is proven that G is a projectively coresolved Gorenstein flat complex if and only if each R-module G~m is a projective coresolved Gorenstein flat module for all m∈Z.Meanwhile, basic properties of projectively coresolved Gorenstein flat complexes are studied, and the relationship between projectively coresolved Gorenstein flat dimension of complex G and projectively coresolved Gorenstein flat dimension of each R-module G~m is discussed.

关键词(KeyWords): PGF-复形;预包络;投射复形
PGF-complex;preenvelope;projective complex

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基金项目(Foundation): 国家自然科学基金(11761047)

作者(Author): 吴德军;赵自红;
WU De-jun;ZHAO Zi-hong;School of Science,Lanzhou Univ. of Tech.;

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