ring of algebraic integers (Q2733): Difference between revisions

@@ Property / Freebase ID @@
+/m/02c89q
@@ Property / Freebase ID: /m/02c89q / rank @@
+Normal rank
@@ Property / Freebase ID: /m/02c89q / qualifier @@
+subject named as: ring of integers
@@ Property / Freebase ID: /m/02c89q / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
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-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
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@@ Property / defining formula @@
+ ${\mathcal {O}}_{K}=\{a\in K\colon \exists p(x)\in \mathbb {Z} [x]\colon p{\mbox{ is monic; }}p(a)=0\}$ 
\mathcal O_K=\{a\in K\colon\exists p(x)\in\mathbb Z[x] \colon p \mbox{ is monic; }p(a)=0\}
+Normal rank
+imported from Wikimedia project: Korean Wikipedia
@@ Property / Microsoft Academic ID @@
+164810661
@@ Property / Microsoft Academic ID: 164810661 / rank @@
+Normal rank
@@ Property / subclass of @@
+Dedekind domain
@@ Property / subclass of: Dedekind domain / rank @@
+Normal rank
@@ Property / nLab ID @@
+ring of integers
@@ Property / nLab ID: ring of integers / rank @@
+Normal rank
@@ Property / nLab ID: ring of integers / qualifier @@
+subject named as: ring of integers
@@ Property / OpenAlex ID @@
+C164810661
@@ Property / OpenAlex ID: C164810661 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C164810661 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
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 After
@@ Property / in defining formula @@
+ $K$ 
K
@@ Property / in defining formula: $K$ / rank @@
+Normal rank
@@ Property / in defining formula: $K$ / qualifier @@
+symbol represents: algebraic number field
@@ Property / in defining formula @@
+ ${\mathcal {O}}_{K}$ 
\mathcal O_K
@@ Property / in defining formula: ${\mathcal {O}}_{K}$ / rank @@
+Normal rank
@@ Property / in defining formula: ${\mathcal {O}}_{K}$ / qualifier @@
+symbol represents: ring of algebraic integers
@@ Property / in defining formula @@
+ $p{\text{ is monic; }}$ 
p \text{ is monic; }
@@ Property / in defining formula: $p{\text{ is monic; }}$ / rank @@
+Normal rank
@@ Property / in defining formula: $p{\text{ is monic; }}$ / qualifier @@
+symbol represents: monic polynomial
@@ Property / has part(s) @@
+algebraic integer
@@ Property / has part(s): algebraic integer / rank @@
+Normal rank
@@ Property / has part(s): algebraic integer / qualifier @@
+object has role: element
@@ Property / different from @@
+ring of integers
@@ Property / different from: ring of integers / rank @@
+Normal rank
@@ Property / part of @@
+algebraic number field
@@ Property / part of: algebraic number field / rank @@
+Normal rank
@@ Property / part of: algebraic number field / qualifier @@
+subject has role: subring
@@ Property / MathWorld ID @@
+RingofIntegers
@@ Property / MathWorld ID: RingofIntegers / rank @@
+Normal rank
@@ Property / MathWorld ID: RingofIntegers / qualifier @@
+subject named as: ring of integers
@@ Property / studied in @@
+algebraic number theory
@@ Property / studied in: algebraic number theory / rank @@
+Normal rank
@@ Property / ProofWiki ID @@
+Definition:Ring_of_Integers_of_Number_Field
@@ Property / ProofWiki ID: Definition:Ring_of_Integers_of_Number_Field / rank @@
+Normal rank