[PDF][PDF] Homological invariants related to semidualizing bimodules

X Tang, Z Huang - Colloquium Mathematicum, 2019 - researchgate.net
Let R and S be rings and RCS a semidualizing bimodule. We show that the supremum of the
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …

[PDF][PDF] On the C-flatness and injectivity of character modules

Z Huang - Electronic Research Archive, 2022 - aimspress.com
Let R, S be arbitrary associative rings and RCS a semidualizing bimodule. We give some
equivalent characterizations for R being left coherent (and right perfect) rings, left …

Relative Tor functors for level modules with respect to a semidualizing bimodule

J Hu, Y Geng - Algebras and Representation Theory, 2016 - Springer
Let R and S be rings and SCR a semidualizing bimodule. We investigate the relative Tor
functors Tor i ℳ ℒ C (−,−) Tor_i^ML_C(-,-) defined via C-level resolutions, and these functors …

Envelopes, covers and semidualizing modules

L Mao - Journal of Algebra and Its Applications, 2019 - World Scientific
Given an R-module C and a class of R-modules 𝒟 over a commutative ring R, we investigate
the relationship between the existence of 𝒟-envelopes (respectively, 𝒟-covers) and the …