Tests for injectivity of modules over commutative rings
LW Christensen, SB Iyengar - Collectanea mathematica, 2017 - Springer
It is proved that a module M over a commutative noetherian ring R is injective if Ext _ R^ i
((R/\mathfrak p) _\mathfrak p, M)= 0 Ext R i ((R/p) p, M)= 0 holds for every i\geqslant 1 i⩾ 1 …
((R/\mathfrak p) _\mathfrak p, M)= 0 Ext R i ((R/p) p, M)= 0 holds for every i\geqslant 1 i⩾ 1 …
[PDF][PDF] Tests for injectivity of modules over commutative rings
LW Christensen, SB Iyengar - Collectanea Mathematica, 2017 - par.nsf.gov
It is proved that a module M over a commutative noetherian ring R is injective if Exti R ((R/p)
p, M)= 0 holds for every i⩾ 1 and every prime ideal p in R. This leads to the following …
p, M)= 0 holds for every i⩾ 1 and every prime ideal p in R. This leads to the following …
Tests for injectivity of modules over commutative rings
LW Christensen, SB Iyengar - Collectanea Mathematica, 2016 - infona.pl
It is proved that a module M over a commutative noetherian ring R is injective if $$\mathrm
{Ext} _ {R}^{i}((R/{\mathfrak p}) _ {\mathfrak p}, M)= 0$$ Ext R i ((R/p) p, M)= 0 holds for every …
{Ext} _ {R}^{i}((R/{\mathfrak p}) _ {\mathfrak p}, M)= 0$$ Ext R i ((R/p) p, M)= 0 holds for every …
[PDF][PDF] TESTS FOR INJECTIVITY OF MODULES OVER COMMUTATIVE RINGS
LW CHRISTENSEN, SB IYENGAR - arXiv preprint arXiv …, 2015 - researchgate.net
It is proved that a module M over a commutative noetherian ring R is injective if Exti R ((R/p)
p, M)= 0 for every i⩾ 1 and every prime ideal p in R. This leads to the following …
p, M)= 0 for every i⩾ 1 and every prime ideal p in R. This leads to the following …
Tests for injectivity of modules over commutative rings
LW Christensen, SB Iyengar - Collectanea mathematica, 2017 - dialnet.unirioja.es
It is proved that a module M over a commutative noetherian ring R is injective if
Ext??((?/?)?,?)= 0 holds for every?⩾ 1 and every prime ideal? in R. This leads to the …
Ext??((?/?)?,?)= 0 holds for every?⩾ 1 and every prime ideal? in R. This leads to the …
Tests for injectivity of modules over commutative rings
LW Christensen, SB Iyengar - Collectanea mathematica, 2017 - documat.unirioja.es
It is proved that a module M over a commutative noetherian ring R is injective if
Ext??((?/?)?,?)= 0 holds for every?⩾ 1 and every prime ideal? in R. This leads to the …
Ext??((?/?)?,?)= 0 holds for every?⩾ 1 and every prime ideal? in R. This leads to the …
Tests for injectivity of modules over commutative rings
LW Christensen, SB Iyengar - arXiv preprint arXiv:1508.04639, 2015 - arxiv.org
It is proved that a module M over a commutative noetherian ring R is injective if Ext^ i ((R/p)
_p, M)= 0 holds for every i\ge 1 and every prime ideal p in R. This leads to the following …
_p, M)= 0 holds for every i\ge 1 and every prime ideal p in R. This leads to the following …