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代数閉体 (だいすうへいたい) Japanese meaning | Kotomora

代だい数すう閉へい体たい

Meanings

1

noun

algebraically closed field

mathematics

A field in which every non-constant polynomial has a root. Technical term in abstract algebra.

複ふく素そ数すう体たいは代だい数すう閉へい体たいである。
The field of complex numbers is an algebraically closed field.
代だい数すう閉へい体たい上じょうでは、任にん意いの多た項こう式しきが一いち次じ式しきの積せきに分ぶん解かいされる。
Over an algebraically closed field, any polynomial can be factored into linear factors.

Kanji

代substitute, change, convert
数number, strength, fate
閉closed, shut
体

body, substance, object

Similar words

代だい数すう的てき閉へい包ほう
Refers to the algebraic closure of a field, i.e., the smallest algebraically closed field containing it.
体たい
General term for a field in algebra; 代数閉体 is a specific type of field.

Etymology

Compound of 代数 (algebra) + 閉 (closed) + 体 (field). A direct translation of the English mathematical term 'algebraically closed field'.