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Are both $g', g$ assumed to be surjective in the commutative diagram for $3 \times 3$ lemma?

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#modules #exact-sequence #morphism
40
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Group Linear and Orthogonal Matrices

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#modules #lie-groups #group-actions
121
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Subquotients after extension of scalars

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#abstract-algebra #commutative-algebra #field-theory #modules
20
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Injectivity of special orthogonal group

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#modules #injective-module #linear-groups
82
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Generalized Notion of Krylov Subspaces

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#linear-algebra #abstract-algebra #vector-spaces #modules #free-modules
70
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Linear clustering when plotting Pisano periods

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#prime-numbers #modules #fibonacci-numbers #pattern-recognition #slope
50
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Let $M_i$ be the free $\mathbb Z$ module $\mathbb Z,$ and let $M$ be the direct product

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#abstract-algebra #ring-theory #field-theory #modules
83
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Analytical result of cost function

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#analysis #derivatives #modules
92
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Example of a isosimple module which is not J-semisimple.

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#modules #semi-simple-rings
71
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Simple modules of $\mathcal{g}\otimes\mathbb{C}[x]$ for a lie algebra $\mathcal{g}$

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#polynomials #modules #representation-theory #lie-algebras #semisimple-lie-algebras
54
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Module over $R$ isomorphic to $R$ itself

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#abstract-algebra #ring-theory #modules #module-isomorphism
101
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confusion regarding infinite cartesian product

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#abstract-algebra #modules #infinite-product
75
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Is there an intuitive interpretation for the equivalence of λI-A and matrix similarity?

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#linear-algebra #abstract-algebra #matrices #modules
93
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Tensor product of projective modules.

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#abstract-algebra #commutative-algebra #modules #tensor-products #projective-module
52
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Basic algebra: why are direct summands projective?

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#abstract-algebra #modules

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