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Classical Krull Dimension of Commutative Rings

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#ring-theory #reference-request #commutative-algebra #krull-dimension #dimension-theory-algebra
165
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Tensor product of simple $sl_2$ modules

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#modules #lie-algebras #tensor-products #dimension-theory-algebra
49
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Is the inequality always true: $\dim_R (U_1 + U_2 + U_3)\leq \dim_RU_1+\dim_RU_2+\dim_RU_3$

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#linear-algebra #dimension-theory-algebra
102
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To calculate the dimension of a vector space

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#linear-algebra #vector-spaces #dimension-theory-algebra
30
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Rank preservation of inverse limit of modules

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#abstract-algebra #ring-theory #modules #limits-colimits #dimension-theory-algebra
24
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Proof verification: dimension of inverse limit of modules

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#ring-theory #solution-verification #modules #limits-colimits #dimension-theory-algebra
41
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misunderstanding on real algebraic varieties

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#krull-dimension #real-algebraic-geometry #dimension-theory-algebra
171
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Real-valued dimension

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#abstract-algebra #dimension-theory-algebra
81
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Computing the height of an ideal...?

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#commutative-algebra #ideals #krull-dimension #dimension-theory-algebra
568
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Invariant dimension property and a ring epimorphism

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#abstract-algebra #ring-theory #invariance #dimension-theory-algebra #epimorphisms
159
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Prove that this condition is true on an Zariski open set

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#linear-algebra #algebraic-geometry #zariski-topology #dimension-theory-algebra
1.2k
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Dimension of local rings on scheme of finite type over a field.

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#algebraic-geometry #commutative-algebra #dimension-theory-algebra
53
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Short proof of the coincidence of left dom.dim., right dom.dim. and relative dom.dim. for semi-primary left QF-3 rings?

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#abstract-algebra #ring-theory #homological-algebra #dimension-theory-algebra
897
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Rank of a matrix over a principal ideal domain

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#matrices #ring-theory #matrix-rank #principal-ideal-domains #dimension-theory-algebra
822
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Associated graded ring isomorphic to polynomial ring implies regularity

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#abstract-algebra #commutative-algebra #graded-rings #dimension-theory-algebra

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