Homological aspects of semidualizing modules
R Takahashi, D White - Mathematica Scandinavica, 2010 - JSTOR
… modules as tools for investigating co homology theories in algebraic geometry. In this paper,
we investigate semi dualizing modules … initiated the study of semi dualizing modules. Over a …
we investigate semi dualizing modules … initiated the study of semi dualizing modules. Over a …
Relative and Tate homology with respect to semidualizing modules
Z Di, X Zhang, Z Liu, J Chen - Journal of Algebra and Its …, 2014 - World Scientific
… of Tate homology of modules over a commutative coherent ring based on Tate FC -resolutions,
where C is a semidualizing module. We show firstly that the class of modules admitting a …
where C is a semidualizing module. We show firstly that the class of modules admitting a …
Homological dimensions and semidualizing complexes
AA Gerko - Journal of Mathematical Sciences, 2007 - Springer
… with finitely generated homology, we … of semidualizing modules of special form. For the
rings with m 3 = 0, this condition reduces to the existence of a nontrivial semidualizing module, …
rings with m 3 = 0, this condition reduces to the existence of a nontrivial semidualizing module, …
On the structure of the set of semidualizing complexes
A Gerko - Illinois Journal of Mathematics, 2004 - projecteuclid.org
… semidualizing modules of special form. For rings with m3 = 0 this condition reduces to the
existence of a nontrivial semidualizing module … ) Rcomplexes with finite homology, localized at …
existence of a nontrivial semidualizing module … ) Rcomplexes with finite homology, localized at …
Comparison of relative cohomology theories with respect to semidualizing modules
S Sather-Wagstaff, T Sharif, D White - Mathematische Zeitschrift, 2010 - Springer
We compare and contrast various relative cohomology theories that arise from resolutions
involving semidualizing modules. We prove a general balance result for relative cohomology …
involving semidualizing modules. We prove a general balance result for relative cohomology …
[图书][B] Quasidualizing modules
BA Kubik - 2011 - search.proquest.com
… respect to R is a special case of duality with respect to a semidualizing module, as is duality
with respect … in the complexes H.omn(F, L) and F ®RL are in C, so their homologies are in C …
with respect … in the complexes H.omn(F, L) and F ®RL are in C, so their homologies are in C …
Semidualizing modules and the divisor class group
S Sather-Wagstaff - Illinois Journal of Mathematics, 2007 - projecteuclid.org
… from [9], we describe the semidualizing modules over a … module) is a semidualizing module
of finite injective dimension. The set of isomorphism classes of semidualizing R-modules is …
of finite injective dimension. The set of isomorphism classes of semidualizing R-modules is …
Linkage of modules with respect to a semidualizing module
MT Dibaei, A Sadeghi - Pacific Journal of Mathematics, 2018 - msp.org
… with respect to a semidualizing module. This is a new notion of linkage for modules and …
M is a right acyclic complex of GC-dimension zero modules whose 0-th homology is M. The …
M is a right acyclic complex of GC-dimension zero modules whose 0-th homology is M. The …
Theory of linkage, Gorenstein dimension and two semidualizing modules
TS Souza - Journal of Algebra and Its Applications, 2024 - World Scientific
… relative setting with respect to two semidualizing modules C and S. More precisely, for an
R-module M of finite GC-dimension which is horizontally linked with respect to S such that Tr …
R-module M of finite GC-dimension which is horizontally linked with respect to S such that Tr …
Semi-dualizing complexes and their Auslander categories
L Christensen - Transactions of the American Mathematical Society, 2001 - ams.org
… modules among these complexes: A semi-dualizing module for R is a finite (that is, finitely
generated) R–module … complex C the complexes with finite homology and finite projective …
generated) R–module … complex C the complexes with finite homology and finite projective …
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