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Corollary to Lemma of Nakayama

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#commutative-algebra #modules #ideals
236
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Primary decomposition in a Dedekind Domain

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#commutative-algebra #ideals #dedekind-domain
458
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$R$ be a commutative ring with unity such that every surjective ring homomorphism $f:R\to R$ is injective, then is $R$ Noetherian?

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#abstract-algebra #ring-theory #ideals #noetherian
394
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The second isomorphism theorem for C*-Algebras

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#functional-analysis #ideals #operator-algebras #c-star-algebras #banach-algebras
74
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On those integers $n>1$ such that there exists a commutative ring with identity with exactly $n$ ideals

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#number-theory #reference-request #ring-theory #ideals #divisor-counting-function
116
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On those integers $n>1$ such that any commutative ring with identity having exactly $n$ ideals is a PIR

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#abstract-algebra #reference-request #ring-theory #ideals
2.9k
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$k[x,y]/(xy-1)$ isomorphic to $k[x,\frac{1}{x}]$

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#abstract-algebra #ideals
118
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Having difficulties showing this map is well defined?

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#abstract-algebra #ideals
43
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Providing non trivial module morphisms

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#modules #ideals
255
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Upper Nilradical of a Ring

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#abstract-algebra #ring-theory #ideals #noncommutative-algebra
71
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Show that $(a) + (b)= R$ for $\gcd(a,b) = 1$

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#abstract-algebra #ideals #self-learning #gcd-and-lcm #principal-ideal-domains
282
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If I and J are isomorphic ideals of a ring R, does it follow that $R/I \simeq R/J$?

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#abstract-algebra #ideals
618
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Ideal generated by given integers verification.

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#abstract-algebra #ring-theory #ideals #integers
52
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Some ideal property in a local ring

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#commutative-algebra #ideals
60
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Prime and maximal ideal

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#ideals

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