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Is the global dimension of a polynomial ring in infinitely many indeterminates over a field infinite?

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#polynomials #homological-algebra #global-dimension
284
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Global dimension of an intermediate ring

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#abstract-algebra #commutative-algebra #global-dimension
444
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Global Dimension of a Ring and its Localizations

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#abstract-algebra #commutative-algebra #homological-algebra #global-dimension
184
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Category of Morphisms Between Modules

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#abstract-algebra #representation-theory #homological-algebra #abelian-categories #global-dimension
489
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Finite dimensional algebras with finite global dimension.

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#ring-theory #modules #representation-theory #homological-algebra #global-dimension
603
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How to prove the global dimension of the polynomial ring $F[x_1,...,x_n]$ is $n$?

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#abstract-algebra #homological-algebra #global-dimension
415
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Global dimension.

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#abstract-algebra #commutative-algebra #homological-algebra #global-dimension
480
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global dimension of rings and projective (flat) dimension of modules

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#ring-theory #modules #homological-algebra #global-dimension
140
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Weak dimension of Rings

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#abstract-algebra #ring-theory #homological-algebra #global-dimension
715
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The global dimension of a $k$-algebra depends only on the simple modules

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#abstract-algebra #reference-request #homological-algebra #projective-module #global-dimension
348
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Dimension of division rings extension

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#abstract-algebra #ring-theory #noncommutative-algebra #division-algebras #global-dimension
251
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Weak Global Dimension and Global Dimension

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#commutative-algebra #homological-algebra #global-dimension
508
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The global dimension of $\mathbb Z/4\mathbb Z$

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#homological-algebra #global-dimension
644
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Global dimension of free algebra.

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#abstract-algebra #ring-theory #homological-algebra #noncommutative-algebra #global-dimension
102
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Semisimplicity and global dimension

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#semi-simple-rings #global-dimension

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