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How often do polynomials in $\bar {\mathbb F}_p[x]$ have multiple roots?

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#polynomials #positive-characteristic
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Nonexistence of Morphisms between Schemes of Differing Characteristic

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#algebraic-geometry #schemes #positive-characteristic
5.1k
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What is an algebraically closed field of characteristic $p$?

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#abstract-algebra #finite-fields #positive-characteristic
235
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Proving Matrix properties in conjunction with eigenvalues

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#matrices #eigenvalues-eigenvectors #positive-characteristic
73
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Looking for a commutative ring satisfying certain conditions

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#ring-theory #commutative-algebra #inverse #positive-characteristic
1.8k
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$x^p-x+a$ irreducible for nonzero $a\in K$ a field of characteristic $p$ prime

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#abstract-algebra #ring-theory #irreducible-polynomials #positive-characteristic
67
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Field of prime characteristic over two indeterminates

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#abstract-algebra #field-theory #positive-characteristic
875
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Why is $W_n(k)$ the unique flat lifting of a perfect field $k$ over $\mathbf{Z}/p^n$?

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#algebraic-geometry #commutative-algebra #positive-characteristic
69
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Is the positive part of a covariance stationary process also stationary?

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#time-series #covariance #stationary-processes #positive-characteristic
94
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The number 2 in a PID

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#abstract-algebra #principal-ideal-domains #positive-characteristic
85
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Diagrams characterizing ring characteristic, and in particular field characteristic 1?

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#abstract-algebra #category-theory #field-theory #positive-characteristic
98
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Computing cohomology of finite groups of Lie type

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#algebraic-groups #group-cohomology #positive-characteristic #reductive-groups
77
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To prove ; $pa:=a+a+... p $ times $=0 , \forall a \in R$ and $a^p=a , \forall a \in R$ for some prime $p$ then the ring $R$ is commutative

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#ring-theory #positive-characteristic
237
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Field extension of a field of Characteristic $p$

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#abstract-algebra #polynomials #field-theory #extension-field #positive-characteristic
62
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restrictions to the element $b$, such that $b=\sigma (a)$ where $\sigma$ is a generator of the Galois group

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#abstract-algebra #field-theory #galois-theory #galois-extensions #positive-characteristic

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