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Relative torsionfreeness and Frobenius extensions
Yanhong Bao, Jiafeng Lü, Zhibing Zhao
Let be a Frobenius extension with centrally projective over . We show that if is a Wakamatsu tilting module then so is , and the natural ring…
Cohomological invariants of algebraic operads, I
Yan-Hong Bao, Yan-Hua Wang, Xiao-Wei Xu +3
We study various invariants, such as cohomology groups, derivations, automorphisms and infinitesimal deformations, of algebraic operads and show that , $\mathcal{C}c…
Multiplicative derivations on rank- matrices for relatively small
Xiaowei Xu, Baochuan Xie, Yanhua Wang +1
Let and be fixed integers such that and . Let be the ring of all matrices over a field . If a m…
-Gorenstein projective dimensions
Zhibing Zhao, Xiaowei Xu
In this paper, we mainly investigate the -Gorenstein projective dimension of modules and the (left) -Gorenstein global dimension of rings. Some properti…