List questions from ring-theory

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Some basic isomorphisms in rings and modules

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Units in tensor products of commutative algebras

Published on 11 Apr 2019 - 15:19

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For an $A$-module $T$ and $T_{0} \in \operatorname{Add}(T)$, when is $\operatorname{Ann}(T) = \operatorname{Ann}(T_{0})$?

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Clarification about a proof regarding a sum of polynomials being expressed as a linear combination of S-polynomials

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Ideals in polynomial ring

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Nilpotent Ideal

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Number of different quadratic functions mod 12.

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$\operatorname{Frac}(A)/A$ as an $A$-module

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Confusion about a ring homomorphism theorem in textbook Analysis I by Amann/Escher

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536

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Can Rings be viewed as “function rings over their spectrum”?

Published on 13 Apr 2019 - 16:47

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Relation between semisimple Lie algebra completely reducibility and semisimple ring

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208

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Largest ideal inside an ideal of a ring.

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Polynomials on $\Bbb Z/p^n\Bbb Z$

Published on 14 Apr 2019 - 6:41

204

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Is there a procedure to calculate the multiplicative inverse in a quotient by a maximal ideal?

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List Question

Prove $x^{p-1}−1=(x−1)(x−2)···(x−p+1)$ in $\Bbb Z_p[x]$.

Some basic isomorphisms in rings and modules

Units in tensor products of commutative algebras

For an $A$-module $T$ and $T_{0} \in \operatorname{Add}(T)$, when is $\operatorname{Ann}(T) = \operatorname{Ann}(T_{0})$?

Clarification about a proof regarding a sum of polynomials being expressed as a linear combination of S-polynomials

Ideals in polynomial ring

Nilpotent Ideal

Number of different quadratic functions mod 12.

$\operatorname{Frac}(A)/A$ as an $A$-module

Confusion about a ring homomorphism theorem in textbook Analysis I by Amann/Escher

Can Rings be viewed as “function rings over their spectrum”?

Relation between semisimple Lie algebra completely reducibility and semisimple ring

Largest ideal inside an ideal of a ring.

Polynomials on $\Bbb Z/p^n\Bbb Z$

Is there a procedure to calculate the multiplicative inverse in a quotient by a maximal ideal?

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