[图书][B] Encyclopedia of distances

E Deza, MM Deza, MM Deza, E Deza - 2009 - Springer
Encyclopedia of Distances is the result of re-writing and extending our Dictionary of
Distances published in 2006 (and put online http://www. sciencedirect. com/science/book …

[PDF][PDF] Semidualizing modules

S Sather-Wagstaff - 2010 - ndsu.edu
Semidualizing modules have been found to be useful for several constructions in
homological algebra. Introduced by Foxby, Vasconcelos, Golod, and Wakamatsu. Studied …

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 …

Reflexivity and ring homomorphisms of finite flat dimension

A Frankild, S Sather-Wagstaff - Communications in Algebra®, 2007 - Taylor & Francis
In this article we present a systematic study of the reflexivity properties of homologically finite
complexes with respect to semidualizing complexes in the setting of nonlocal rings. One …

[HTML][HTML] Complete intersection dimensions and Foxby classes

S Sather-Wagstaff - Journal of Pure and Applied Algebra, 2008 - Elsevier
Let R be a local ring and M a finitely generated R-module. The complete intersection
dimension of M–defined by Avramov, Gasharov and Peeva, and denoted–is a homological …

Distances and similarities in data analysis

MM Deza, E Deza, MM Deza, E Deza - Encyclopedia of distances, 2014 - Springer
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Semidualizing modules over numerical semigroup rings

E Celikbas, H Geller, T Kobayashi - arXiv preprint arXiv:2306.14989, 2023 - arxiv.org
A semidualizing module is a generalization of Grothendieck's dualizing module. For a local
Cohen-Macaulay ring $ R $, the ring itself and its canonical module are always realized as …

Modules of finite homological dimension with respect to a semidualizing module

S Sather-Wagstaff, S Yassemi - Archiv der Mathematik, 2009 - Springer
Modules of finite homological dimension with respect to a semidualizing module Page 1
Arch. Math. 93 (2009), 111–121 c© 2009 Birkhäuser Verlag Basel/Switzerland 0003-889X/09/020111-11 …

Distances in probability theory

MM Deza, E Deza - Encyclopedia of distances, 2014 - Springer
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Relations between semidualizing complexes

AJ Frankild, S Sather-Wagstaff, A Taylor - Journal of Commutative Algebra, 2009 - JSTOR
We study the following question: Given two semidualizing complexes 𝐵 and 𝐶 over a
commutative noetherian ring 𝑅, does the vanishing of Ext R n (B, C) for 𝑛≫ 0 imply that 𝐵 is …