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Finding indempotents in a quotient ring

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#abstract-algebra #ring-theory
485
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Specific subring with non-zero unity element

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#abstract-algebra #ring-theory
811
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Integral dependence and (faithfully) flat ring extensions

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#ring-theory #commutative-algebra #flatness
665
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When are all ring homomorphisms also algebra homomorphisms?

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#abstract-algebra #ring-theory #vector-spaces #category-theory
122
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Find intersection multiplicities

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #affine-geometry
988
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Polynomial ring and extension field

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#abstract-algebra #polynomials #ring-theory #field-theory #irreducible-polynomials
42
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Semi-simple and characteristic

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#abstract-algebra #ring-theory #modules
865
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Divisors of zero in $A \times B$

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#abstract-algebra #ring-theory
517
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Is there an analogue of Bass-Papp theorem for Projective modules?

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#abstract-algebra #ring-theory #modules #projective-module #injective-module
123
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Testing a polynomial is irreducible.

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#ring-theory #irreducible-polynomials
1.8k
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Ring of even integers

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#abstract-algebra #ring-theory
31
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Identifying special arithmetic

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#abstract-algebra #ring-theory #arithmetic
794
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For a commutative ring $A$ with multiplicative subset $0\notin S$, if $P$ is a maximal element in the set of ideals not intersect $S$, it is prime.

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#abstract-algebra #ring-theory
1k
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When is a ring homomorphism also a R-module homomorphism?

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#abstract-algebra #ring-theory #modules
101
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Classify all possible $R$-module structures on a vector space

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#abstract-algebra #ring-theory #vector-spaces #modules

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