… It is proved that Ghd s G = Ghd R G for any Frobenius extension of commutative rings R→S. …
between the Gorenstein homological dimension of a group and the Gorenstein homological …

… Indeed, since R is quasi-Frobenius, every R-module is Gorenstein projective(injective) and
… We remark that similar notions of Gorenstein Ext-functors have been introduced by Avramov …

… 结论表明模的Gorenstein投射性在Frobenius扩张下是保持的ꎬ而在Noether的条件下ꎬ一个
有限生 成Gorenstein投射模一定是自反的ꎬ这也表明模的自反性的保持体现Frobenius扩张可能在“…

… of Frobenius pair (X,ω) in a triangulated category T . We show how to construct from a Frobenius
pair (… We denote ξ-Gorenstein projective (ξ-Gorenstein injective) objects by GP(ξ) (GI(ξ)). …

… R满足sfli Rop <∞ ꎬ则当模M的Gorenstein平 坦维数有限时RfdR(M)=GfdR(M)(见定理2.1)ꎮ
以下给出一些需要的定义ꎮ 定义1.1 称R-模M是Gorenstein平坦的ꎬ如果存在M的完全平坦分解ꎬ即…

… In [8] and [13], the authors proved that the Hochschild cohomology ring of a Frobenius algebra
with semisimple Nakayama automorphism is a BatalinVilkovisky algebra in different ways. …

… ,刻画了“小环”$A$,$B$上的Gorenstein投射模的稳定范畴$\underline{\mathcal{GP}}(A)$,$\underline{\mathcal{GP}}(B)$.为
此,首先要引入Gorenstein投射$T$-模范畴的两个子范畴,并构造了与…

… Broomhead证明,任意一个3-维仿射,Gorenstein孤立奇点,都存在非… “同调镜像对称猜测” (Homological
Mirror Symmetry Conjecture)指出:对于… 是一个对称的Frobenius代数,即存在A!-双模同构 …