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Classify abelian groups $A$ which are irreducible $End(A)$-modules

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#abstract-algebra #group-theory #ring-theory #modules #abelian-groups
40
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A doubt regarding splitting field.

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#ring-theory #field-theory #galois-theory #self-learning
78
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PID question in Ireland and Rosen

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#ring-theory #inverse
136
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Principal Ideal Domains

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#ring-theory
311
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In a commutative ring without identity, is $(a)(b)\subset (ab)$ or $(ab)\subset (a)(b)$?

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#ring-theory #ideals #rngs
309
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In a Morita context ($A, B, P, Q, f, g$), why are $P$ and $Q$ projective if $f$ is surjective?

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#abstract-algebra #ring-theory #category-theory
180
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Is the homomorphic image of a G-domain is G-domain?

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#ring-theory #commutative-algebra
545
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Maximal ideal generated by irreducible element

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#abstract-algebra #ring-theory #integral-domain
401
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Exercise from Atiyah about flatness

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#abstract-algebra #ring-theory #commutative-algebra #homological-algebra
2.7k
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Endomorphisms of direct sum and division ring

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#abstract-algebra #ring-theory #modules #noncommutative-algebra #division-algebras
84
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Equality with powers of an ideal

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#abstract-algebra #ring-theory #commutative-algebra #ideals #noetherian
1.5k
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Exercise 2.11 Atiyah-Macdonald

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#abstract-algebra #ring-theory #commutative-algebra
1.6k
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Endomorphism Ring Isomorphism

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#abstract-algebra #ring-theory
131
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Direct Product of Rings and Atoms

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#ring-theory #proof-verification #irreducible-polynomials #direct-product
467
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Exercise 2.26 Atiyah-Macdonald, flatness

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#abstract-algebra #ring-theory #commutative-algebra #modules #homological-algebra

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