is closed under passage to the inverse

Polish translation: zamknięty ze względu na branie odwrotności

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
English term or phrase:is closed under passage to the inverse
Polish translation:zamknięty ze względu na branie odwrotności
Entered by: Frank Szmulowicz, Ph. D.

17:30 Apr 30, 2015
English to Polish translations [PRO]
Science - Mathematics & Statistics
English term or phrase: is closed under passage to the inverse
A subfield S of a field F is a subring that is closed under passage to the inverse.
It inherits the structure of a field from that on F.
badger92
zamknięty ze względu na branie odwrotności
Explanation:
my interpretation

--------------------------------------------------
Note added at 4 hrs (2015-04-30 22:24:00 GMT)
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Inne wyrażenia
Subrings which are closed with respect to taking the inverse
http://www.sciencedirect.com/science/article/pii/S0021869307...
cccccccccccccccccccccccccccc
Let K/F be an algebraic field extension and let R \subseteq K be a subring containing F. Show that R is a subfield of K.

It suffices to show that R is closed under inversion
https://crazyproject.wordpress.com/tag/subring/
ccccccccccccccccccccccccccccccccccccccccccccccc

The set of nonnegative rational numbers is not a subring of Q because it is not closed under inversion (in the group (Q,+))
https://www.google.com/search?sourceid=chrome-psyapi2&ion=1&...
cccccccccccccccccccccccccc

--------------------------------------------------
Note added at 4 hrs (2015-04-30 22:27:45 GMT)
--------------------------------------------------

Podobne
jest zamknięty ze względu na dodawanie i branie odwrotności,
http://pl.wikipedia.org/wiki/Podgrupa
cccccccccccccccccccccccccc

Grupa ilorazowa – zbiór warstw danej grupy względem jej pewnej podgrupy ..... jest zamknięty ze względu na branie odwrotności
http://pl.wikipedia.org/wiki/Grupa_ilorazowa
ccccccccccccccccccc
zaś zbiór jest zamknięty ze względu na dodawanie i branie odwrotności,
http://www.reggae.buzert.com/bGJ8XWYjJWNne1JsQ3pydGBgZnc.asp...
cccccccccccccccccccccc
Selected response from:

Frank Szmulowicz, Ph. D.
United States
Local time: 16:19
Grading comment
Selected automatically based on peer agreement.
4 KudoZ points were awarded for this answer



Summary of answers provided
2 +2zamknięty ze względu na branie odwrotności
Frank Szmulowicz, Ph. D.


Discussion entries: 2





  

Answers


31 mins   confidence: Answerer confidence 2/5Answerer confidence 2/5 peer agreement (net): +2
zamknięty ze względu na branie odwrotności


Explanation:
my interpretation

--------------------------------------------------
Note added at 4 hrs (2015-04-30 22:24:00 GMT)
--------------------------------------------------

Inne wyrażenia
Subrings which are closed with respect to taking the inverse
http://www.sciencedirect.com/science/article/pii/S0021869307...
cccccccccccccccccccccccccccc
Let K/F be an algebraic field extension and let R \subseteq K be a subring containing F. Show that R is a subfield of K.

It suffices to show that R is closed under inversion
https://crazyproject.wordpress.com/tag/subring/
ccccccccccccccccccccccccccccccccccccccccccccccc

The set of nonnegative rational numbers is not a subring of Q because it is not closed under inversion (in the group (Q,+))
https://www.google.com/search?sourceid=chrome-psyapi2&ion=1&...
cccccccccccccccccccccccccc

--------------------------------------------------
Note added at 4 hrs (2015-04-30 22:27:45 GMT)
--------------------------------------------------

Podobne
jest zamknięty ze względu na dodawanie i branie odwrotności,
http://pl.wikipedia.org/wiki/Podgrupa
cccccccccccccccccccccccccc

Grupa ilorazowa – zbiór warstw danej grupy względem jej pewnej podgrupy ..... jest zamknięty ze względu na branie odwrotności
http://pl.wikipedia.org/wiki/Grupa_ilorazowa
ccccccccccccccccccc
zaś zbiór jest zamknięty ze względu na dodawanie i branie odwrotności,
http://www.reggae.buzert.com/bGJ8XWYjJWNne1JsQ3pydGBgZnc.asp...
cccccccccccccccccccccc

Frank Szmulowicz, Ph. D.
United States
Local time: 16:19
Works in field
Native speaker of: Native in EnglishEnglish, Native in PolishPolish
PRO pts in category: 263
Grading comment
Selected automatically based on peer agreement.

Peer comments on this answer (and responses from the answerer)
agree  Remolek
2 hrs
  -> Dziękuję Remolek.

agree  M.A.B.
5 hrs
  -> Dziękuję M. A. B.
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