… 3 we study the homological dimensions associated to … /J goes from the right side to the left
side of the short exact sequence. … definition of a semidualizing module for a Noetherian ring R. …

… We investigate stable homology of modules over a commutative noetherian ring R with
respect to a semidualzing module C, and give some vanishing results that improve/extend the …

… flat modules and developed Gorenstein homological algebra. … , the category of R-modules
has two Quillen equivalent model … flat modules with respect to semidualizing modules, Algebr. …

… on the structure and homological properties of these rings, … A dualizing complex for φ is a
semidualizing S-complex D φ … G ] ] out by the regular sequence of elements of the form v i , j − w …

… section C denotes a semidualizing module, and M denotes a finitely generated R-module. …
its definition along with some other homological dimensions with respect to a semidualizing …

… of homology modules. Fix an integer i and note that \({\text {H}}_i (M^{\ell }) =0\) if \… elements
of J are not all of the form of a monomial, so to define the “powers” of non-monomial elements …

… Fossum, Griffith and Reiten studied the categorical aspect and homological properties of
trivial … Jørgensen: Semi-dualizing modules and related Gorenstein homological dimensions. J. …

… Section 3 starts with a discussion of primitive elements in a more conceptual way as this
is done in [21]; for example, the algebra of primitive elements of a bialgebra in an entropic …

… Among various research areas on semidualizing modules, one basically focuses on … and
results of homological algebra to the relative setting with respect to a semidualizing module. For …

… are only finitely many isomorphism classes of rigid modules, that is modules with no non-split
self-… many isomorphism classes of semi-dualizing modules ([4]). In this direction we prove: …