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Hartshorne, Exercise 3.18, Chapter 2

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra
154
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Property of prime ideals of $\Bbb{Z}[X_1,...,X_n]$

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#abstract-algebra #polynomials #ring-theory #commutative-algebra
42
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Division in $\mathbb{Z}_7 [x]$

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#abstract-algebra #polynomials #ring-theory
435
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Surjectivity of a Free Module Homomorphism implies Injectivity?

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#ring-theory #modules
147
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If every free $R$-module has the property that independence implies extendibility, is $R$ necessarily a field?

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#ring-theory #commutative-algebra #modules
80.5k
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Do we have negative prime numbers?

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#abstract-algebra #elementary-number-theory #ring-theory #prime-numbers #terminology
162
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Dixmier Conjecture

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#ordinary-differential-equations #ring-theory
150
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Representatives of simple modules

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#abstract-algebra #ring-theory #modules
138
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Are these two rings isomorphic?

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#abstract-algebra #ring-theory
834
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Example of a commutative ring which is not a subring of a commutative ring where every non-invertible element is a zero-divisor

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#abstract-algebra #ring-theory #commutative-algebra
1.8k
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Polynomial rings- multiplicative inverse

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#polynomials #ring-theory #field-theory
115
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Powers of complexes modulo a prime $p$

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#ring-theory #complex-numbers #integer-rings
285
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Intersection of nonzero ideals in a right Noetherian domain is nonzero

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#ring-theory #ideals #noetherian
412
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A simple module is necessarily the socle of its injective hull?

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#ring-theory #modules #injective-module
49
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Modules over PIDs

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#linear-algebra #ring-theory #modules

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