… By use of homological methods in commutative algebra, the notion of a Cohen-Macaulay …
In other words, M is generated by two elements as an R-module. Since M is nonfree, one has …

… -projective modules, where C is a semidualizing module. However… in the relative (co)homology
groups. The first main result of … relative (co)homology groups (see Theorems 5.3 and 5.5). …

… , for investigation into homological properties of modules that, in … goal of describing all
semidualizing modules over certain classes … One aspect of our work in [21] is to localize our tensor …

… over a local ring is an actively researched topic in commutative algebra and homological …
provide criteria for a semidualizing module to be considered a canonical module of a Cohen-…

… ] initiated the study of semidualizing modules over arbitrary associative rings. Semidualizing
modules have been a cornerstone of relative homological algebra. Several important results …

… with respect to a semidualizing module are preserved under Frobenius … homological
dimensions are preserved under Frobenius extensions, which show that Gorenstein homological …

… a semidualizing (R, S)-bimodule C can be computed either by the GC -flat dimension of the
left R-modules or right S-modules… this subject from homological and homotopical aspects. We …

… We recall that an R-module C is semidualizing if the natural map R → HomR(C, C) is an …
of the most celebrated problems in homological commutative algebra and states the following. …

… From the notion of (co)generator in relative homological … by the finiteness of homological
dimensions relative to X and Y. … with a dualizing module D and a semidualizing module C. Other …

… modules with respect to a semidualizing bimodule RωS by using the properties of the (strong)
grade of modules. In [… of n-ω-cotorsionfree modules and adjoint n-ω-cotorsionfree modules …