… -obstructed and of when a given semidualizing module is free. … over a given ring, is a central
issue in relative homological … The R-torsion submodule of M is formed by the elements that …

… For the differential to be homogeneous, we must give the elements of X an internal grading,
… We denote by |.| the homological degree of a homogeneous element in the acyclic closure …

… module ωR then we investigate the case M = ωR, particularly via the R-dual HomR(ωR,R),
the so-called anticanonical module … suitable homological dimensions of the R-module HomR(…

… that if a semidualizing module C has a canonical module and belongs … side is isomorphic
to HomR(N,ωC) ⊗R R/xR. Again by [4, Proposition 3.3.3], we conclude that the right-hand side …

… to take homological dimension. The following is the main theorem of this article, which
features as … Semidualizing modules seem to have arisen in work of Foxby, and we refer to the …

… Recall from [15] that a module ω ∈ mod R is called Wakamatsu tilting (or semidualizing) if
add(ω) is a Wakamatsu tilting subcategory of C. This definition coincides with the usual one (cf…

… Let C be a semidualizing module of R, and let C(R) and C(R) denote, respectively, the …
consisting of R-complexes X with finitely generated homology modules. In addition, we feel free to …

… this paper, R is a commutative ring and C is always a semidualizing R-module. The character
module M … More examples of semidualizing modules can be found in [10, 15]. Let C be a …

… to semidualizing modules (and more generally, semidualizing … In spite of the utility of the
semidualizing modules, we know … homological information in the passage from R to R / ( y ) . …

… module is a semidualizing module of finite injective dimension. Not every ring has a dualizing
module: R has a dualizing module … When we first compute horizontal homology, to find the …