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15
42
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Constructing a quotient set for negative numbers

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#abstract-algebra #equivalence-relations #quotient-set
109
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Special case where $I\subseteq J$ implies $R/J\subseteq R/I$ seems to hold

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#abstract-algebra #ring-theory #ideals #formal-power-series #quotient-set
91
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How to prove that a function on a quotient set $\mathbb{Z}/n\mathbb{Z}$ is well defined?

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#abstract-algebra #group-theory #multiplicative-function #quotient-set
287
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Thinking about the cosets of $\mathbb{Z}[X]/(f(x))$

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#abstract-algebra #ring-theory #quotient-spaces #quotient-set
356
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Proving there exists a unique function decomposition

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#functions #proof-explanation #quotient-set
43
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Existence of a function from a quotient

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#differential-geometry #multilinear-algebra #quotient-set
45
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"Quotient" of category by arbitrary reflexive relation

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#category-theory #equivalence-relations #quotient-set
68
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Products in quotient category

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#category-theory #products #limits-colimits #quotient-set
39
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Finding the quotient set of relation

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#elementary-set-theory #relations #quotient-set
29
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Characterizing the product-structure on cosets $O_{h}/C_{2v}$

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#group-theory #finite-groups #quotient-set
111
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What kind of structure is $\mathbb{Z}[i]/\langle 2+2i\rangle$?

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#group-theory #ring-theory #ideals #quotient-set
144
Views

Is it true that $\mathbb{Z}[\zeta_8]/\langle 1+3\sqrt{i}\rangle\cong\mathbb{Z}_{82}$?

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#abstract-algebra #ring-theory #cyclotomic-fields #quotient-set
102
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Process of identifying quotients of polynomial rings

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#abstract-algebra #ring-theory #quotient-set
179
Views

Showing that pushout with inclusion induces closed map into pushout

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#general-topology #algebraic-topology #category-theory #quotient-set
67
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If $A$ has no non-trivial idempotents, then neither does $A/N$

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#commutative-algebra #nilpotence #idempotents #quotient-set

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