Ascent and descent of Artinian module structures under flat base changes
Abstract Let φ: R→ S be a flat local homomorphism between commutative Noetherian local
rings. In this paper, the ascent and descent of Artinian module structures between R and S …
rings. In this paper, the ascent and descent of Artinian module structures between R and S …
Homology with the theme of Matlis
M Asgharzadeh, E Mahdavi - arXiv preprint arXiv:2212.10332, 2022 - arxiv.org
Matlis proved a lot of homological properties of the fraction field of an integral domain. In this
paper, we simplify and extend some of them from 1-dimensional (resp. rank one) cases to …
paper, we simplify and extend some of them from 1-dimensional (resp. rank one) cases to …
Ascent properties for pairs of modules
S Sather-Wagstaff - Archiv der Mathematik, 2014 - Springer
Given a flat local ring homomorphism R → SR→ S and two finitely generated R-modules M
and N, we describe conditions under which the modules\rm Tor^ R _ i (M, N) Tor i R (M, N) …
and N, we describe conditions under which the modules\rm Tor^ R _ i (M, N) Tor i R (M, N) …
Ascent properties for derived functors
S Sather-Wagstaff - arXiv preprint arXiv:1302.4151, 2013 - arxiv.org
arXiv:1302.4151v1 [math.AC] 18 Feb 2013 Page 1 arXiv:1302.4151v1 [math.AC] 18 Feb 2013
ASCENT PROPERTIES FOR DERIVED FUNCTORS SEAN SATHER-WAGSTAFF Abstract …
ASCENT PROPERTIES FOR DERIVED FUNCTORS SEAN SATHER-WAGSTAFF Abstract …
[PDF][PDF] RESEARCH STATEMENT SEAN SATHER-WAGSTAFF
JW Gibbs - ndsu.edu
In the oldest sense, arithmetic is the study of operations on integers: addition, subtraction,
multiplication, and (when defined) division. A somewhat more modern perspective is that …
multiplication, and (when defined) division. A somewhat more modern perspective is that …
NAK for Ext, ascent of module structures, and the blindness of extended modules
BJ Anderson - 2012 - search.proquest.com
This dissertation investigates the interplay between properties of Ext modules and ascent of
module structures along ring homomorphisms. First, we consider a flat local ring …
module structures along ring homomorphisms. First, we consider a flat local ring …