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Exact sequence and $S$-Noetherian module.

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#abstract-algebra #ring-theory #modules #noetherian
54
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Ideal of polynomial ring is generated by a single element

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#linear-algebra #abstract-algebra #polynomials #ring-theory
105
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An exercise about pullback morphism between rings of regular functions.

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#abstract-algebra #algebraic-geometry #ring-theory #affine-varieties
176
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Example of a finite commutative ring $R$ and an ideal $I$ where $I$ is maximal but not prime?

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#abstract-algebra #ring-theory
215
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In the ring $\mathbb Z_5[X]$ find associated elements with $X^3+4X^2+3X+2$

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#abstract-algebra #ring-theory #associativity
148
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Multiplication of meromorphic functions

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#abstract-algebra #complex-analysis #ring-theory #meromorphic-functions
160
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Integral extension of a complete/Henselian DVR

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#ring-theory #commutative-algebra
67
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What role does ring $R$ play in formal group?

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#abstract-algebra #group-theory #ring-theory #formal-groups
78
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Grothendieck topology on functor category

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#ring-theory #functors #grothendieck-topologies
305
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Ring homomorphisms between $\mathbb{Z}[i]$ and $\mathbb{Z}[\sqrt{-3}]$.

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#abstract-algebra #ring-theory #solution-verification #group-homomorphism
70
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When $\langle a+b,c+d \rangle = \langle a,b,c,d \rangle$?

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#ring-theory #commutative-algebra #ideals
215
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Integral group ring of the free group on two generators

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#abstract-algebra #group-theory #ring-theory #free-groups #group-rings
757
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Prove / Disprove : if $a \neq 0$ and is not invertible so $a$ is a zero divisor

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#abstract-algebra #ring-theory
885
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Definition of Polynomial with infinitely many variables

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#abstract-algebra #polynomials #ring-theory
3.1k
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Index of a Nilpotent matrix

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#linear-algebra #matrices #ring-theory #nilpotence #matrix-analysis

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