체,field in RRWiki

Difference between r1.6 and the current

@@ -1,4 +1,5 @@

#noindex

##========체,field =,field . 체 field

curr at [[필드,field#s-2]]

[[추상대수,abstract_algebra]]

@@ -9,21 +10,61 @@

[[환,ring]]

----

[[공리,axiom]]

체공리,field_axiom 만들까??

----

SUB

[[수체,number_field]] ? / [[대수적수체,algebraic_number_field]]

WtEn:number_field -> algebraic_number_field

https://mathworld.wolfram.com/NumberField.html

[[부분체,subfield]] - [[서브,sub]] ... curr [[서브,sub#s-1.2]]

[[순서체,ordered_field]] =순서체,ordered_field =,ordered_field 순서체 ordered_field - [[순서,order]]?

WtEn:ordered_field

'''순서체 ordered field'''

https://ko.wikipedia.org/wiki/순서체

https://en.wikipedia.org/wiki/Ordered_field

"field with total_ordering ([[전순서,total_order]]) of its elements that is compatible with the field operations.

ex. [[유리수,rational_number]] [[실수,real_number]]

Every subfield of an ordered field is also an ordered field in the inherited order."

https://encyclopediaofmath.org/wiki/Ordered_field

"ordered field 순서체" via KmsE:"ordered field"

// ordered field ... NN:"ordered field" Bing:"ordered field" Ggl:"ordered field"

[[완비순서체,complete_ordered_field]] =완비순서체,complete_ordered_field =,complete_ordered_field . complete_ordered_field

'''완비순서체 complete ordered field'''

"complete ordered field 완비순서체" via KmsE:"ordered field"

// complete ordered field .... NN:"complete ordered field" Bing:"complete ordered field" Ggl:"complete ordered field"

[[완비성,completeness]] [[순서체,ordered_field]]

[[소체,prime_field]]

[[분수체,]] KmsK:분수체 Ndict:분수체

[[유한체,]] ~~KmsK:유~~한체 ~~Ndict:~~유한~~체 = [[갈루아_~~체,~~Galois~~_field]]

[[체,field]] ~~중에서~~ ~~[[원소~~,~~element]]의~~ ~~개수가~~ ~~유한한~~ 것. (수백) // ~~[[유한성,finiteness]]~~

[[확대체~~,]]~~ ~~KmsK~~:확대체

[[몫체]]라고도 한다... (수백)

[[유한체,finite_field]]

[[확대체,extension_field]] =확대체,extension_field =,extension_field 확대체 extension_field

{

'''extension field'''

확대체 (KMS)

WtEn:extension_field

WpSp:Extension_field ?

WpEn:Extension_field ?

Page name via KmsK:확대체 {"extension field=확대체" [[Date(2023-11-18T03:56:28)]] 현재 9개. }

} "extension field" ... Ndict:"extension field" Ggl:"extension field"

체 용어 (부분체 확대체)

http://www.ktword.co.kr/test/view/view.php?m_temp1=5294&id=1134

[[유한확대체,]] KmsK:유한확대체 Ndict:유한확대체 Naver:유한확대체 Ggl:유한확대체
tmp bmks ko
https://j1w2k3.tistory.com/1524

Twin

[[https://terms.naver.com/entry.naver?docId=4125405&cid=60207&categoryId=60207 수학백과: 유한확대체]]

[[대수확대체]] or [[대수적확대체,]] (TBD) Ndict:대수적확대체 Naver:대수확대체 Ggl:대수확대체
tmp bmks ko
https://blog.naver.com/spikeshadow/10147137473
[[앨지브라,algebra]]
[[분리확대체,]] Ndict:분리확대체 Naver:분리확대체 Ggl:분리확대체

[[소체,~~prime_field]] - [[prime~~_field]]

[[함수체,function_field]]

----
REL (삭제무방)

@@ -39,3 +80,9 @@

----
[[WpKo:체_(수학)]]
= https://ko.wikipedia.org/wiki/체_(수학)

체 (Field)

http://www.ktword.co.kr/test/view/view.php?m_temp1=3860&id=1134

Up:

분야: 추상대수학 abstract_algebra

curr at 필드,field#s-2

추상대수,abstract_algebra
체론,field_theory 2023-11-18현재 아직 분리하려면 멀었음. =체론,field_theory =,field_theory 체론 field_theory {

체론

체론 field theory

체론 field theory }

REL
군,group
환,ring

공리,axiom
체공리,field_axiom 만들까??

SUB
수체,number_field ? / 대수적수체,algebraic_number_field

number_field -> algebraic_number_field
https://mathworld.wolfram.com/NumberField.html

부분체,subfield - 서브,sub ... curr 서브,sub#s-1.2
순서체,ordered_field =순서체,ordered_field =,ordered_field 순서체 ordered_field - 순서,order?

ordered_field
순서체 ordered field
https://ko.wikipedia.org/wiki/순서체
https://en.wikipedia.org/wiki/Ordered_field

"field with total_ordering (전순서,total_order) of its elements that is compatible with the field operations.
ex. 유리수,rational_number 실수,real_number
Every subfield of an ordered field is also an ordered field in the inherited order."

https://encyclopediaofmath.org/wiki/Ordered_field
"ordered field 순서체" via