PDF(539 KB)
PDF(539 KB)
PDF(539 KB)
n-强W-Gorenstein模
On n-Strongly W-Gorenstein Mdules
设W是左R-模的自正交类.引入研究了相对于W的n-强W-Gorenstein模，这类模推广了强W-Gorenstein模、强Gorenstein投射模和n-强Gorenstein投射模.特别地，研究了自正交模类WP和WI的n-强W-Gorenstein模的性质.还研究了W-Gorenstein范畴的稳定性，得到了BC（R）中WP-Gorenstein模的具体刻画，建立了关于n-强WP-Gorenstein（n-强WI-Gorenstein）模的Foxby等价.此外，对n-强WF-Gorenstein模的性质也有所研究.
Let W be a self-orthogonal class of left R-modules. This paper concerns the class of n-strongly W-Gorenstein modules, which is a common generalization of strongly W-Gorenstein modules, strongly Gorenstein projective modules and n-strongly Gorenstein projective modules. Special attention is given to n-strongly WP-Gorenstein mod-ules and n-strongly WI-Gorenstein modules. The stability of n-strongly W-Gorenstein category is considered, some concrete characterizations of WP-Gorenstein modules in BC(R) are given and new versions of Foxby equivalence with respect to n-strongly WP-Gorenstein (resp., n-strongly WI-Gorenstein) modules are established. The properties of n-strongly WF-Gorenstein modules are also investigated.
n-强W-Gorenstein模 / n-强WP-Gorenstein模 / n-强WI-Gorenstein模 / n-强WF-Gorenstein模 / Foxby等价 {{custom_keyword}} /
n-strongly W-Gorenstein modules / n-strongly WP-Gorenstein modules / n-strongly WI-Gorenstein modules / n-strongly WF-Gorenstein modules / Foxby equivalence {{custom_keyword}} /
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