Noetherian rings whose prime ideals have projective dimension bounded above Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Projective dimension of the residue field of a noetherian local ring.global dimension of rings and projective (flat) dimension of modulesProjective dimension of all principal ideals is finite. Is R an integral domain?When a two-generated ideal of a noetherian integral domain have a finite projective resolution?Ring of infinite global dimension which does not have a finitely generated module of infinite projective dimensionOne of characterizations of projective modules over noetherian ring of finite global dimensioncommutative Noetherian ring whose every maximal ideal is projectiveProjective dimension of module over regular ring is always finite?Submodules of modules of finite projective dimension over regular ringOn a special type of Noetherian regular rings
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Noetherian rings whose prime ideals have projective dimension bounded above
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Projective dimension of the residue field of a noetherian local ring.global dimension of rings and projective (flat) dimension of modulesProjective dimension of all principal ideals is finite. Is R an integral domain?When a two-generated ideal of a noetherian integral domain have a finite projective resolution?Ring of infinite global dimension which does not have a finitely generated module of infinite projective dimensionOne of characterizations of projective modules over noetherian ring of finite global dimensioncommutative Noetherian ring whose every maximal ideal is projectiveProjective dimension of module over regular ring is always finite?Submodules of modules of finite projective dimension over regular ringOn a special type of Noetherian regular rings
$begingroup$
For a module $M$ over a commutative Noetherian ring $R$, let $pd_R (M)$ denote the projective dimension of $M$ as an $R$-module. Now let $R$ be a commutative Noetherian ring such that $sup pd_R (Q) : Q in Spec (R) < infty$, then definitely $R$ is regular.
My question is: Does $R$ have finite global dimension ?
commutative-algebra homological-algebra projective-module global-dimension
edited 16 hours ago
user26857
39.6k124284
asked Apr 1 at 13:00
user521337user521337
1,2201417
$endgroup$
add a comment |
$begingroup$
For a module $M$ over a commutative Noetherian ring $R$, let $pd_R (M)$ denote the projective dimension of $M$ as an $R$-module. Now let $R$ be a commutative Noetherian ring such that $sup pd_R (Q) : Q in Spec (R) < infty$, then definitely $R$ is regular.
My question is: Does $R$ have finite global dimension ?
commutative-algebra homological-algebra projective-module global-dimension
edited 16 hours ago
user26857
39.6k124284
asked Apr 1 at 13:00
user521337user521337
1,2201417
$endgroup$
add a comment |
$begingroup$
For a module $M$ over a commutative Noetherian ring $R$, let $pd_R (M)$ denote the projective dimension of $M$ as an $R$-module. Now let $R$ be a commutative Noetherian ring such that $sup pd_R (Q) : Q in Spec (R) < infty$, then definitely $R$ is regular.
My question is: Does $R$ have finite global dimension ?
commutative-algebra homological-algebra projective-module global-dimension
edited 16 hours ago
user26857
39.6k124284
asked Apr 1 at 13:00
user521337user521337
1,2201417
$endgroup$
For a module $M$ over a commutative Noetherian ring $R$, let $pd_R (M)$ denote the projective dimension of $M$ as an $R$-module. Now let $R$ be a commutative Noetherian ring such that $sup pd_R (Q) : Q in Spec (R) < infty$, then definitely $R$ is regular.
My question is: Does $R$ have finite global dimension ?
commutative-algebra homological-algebra projective-module global-dimension
commutative-algebra homological-algebra projective-module global-dimension
edited 16 hours ago
user26857
39.6k124284
asked Apr 1 at 13:00
user521337user521337
1,2201417
edited 16 hours ago
user26857
39.6k124284
asked Apr 1 at 13:00
user521337user521337
1,2201417
edited 16 hours ago
user26857
39.6k124284
edited 16 hours ago
user26857
39.6k124284
edited 16 hours ago
user26857
39.6k124284
39.6k124284
asked Apr 1 at 13:00
user521337user521337
1,2201417
asked Apr 1 at 13:00
user521337user521337
1,2201417
asked Apr 1 at 13:00
user521337user521337
1,2201417
1,2201417
add a comment |
add a comment |
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