[過去ﾛｸﾞ] 純粋・応用数学（含むガロア理論）3 (1002ﾚｽ)
上下前次1-新
抽出解除 ﾚｽ栞

---

このｽﾚｯﾄﾞは過去ﾛｸﾞ倉庫に格納されています｡
次ｽﾚ検索 歴削→次ｽﾚ 栞削→次ｽﾚ 過去ﾛｸﾞﾒﾆｭｰ

---

635(2): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/08/23(日)16:29 ID:ehdjUjVy(14/16) AAS
>>630 追加

これも、メモ

外部ﾘﾝｸ:en.wikipedia.org
Divisibility (ring theory)

In mathematics, the notion of a divisor originally arose within the context of arithmetic of whole numbers.
With the development of abstract rings, of which the integers are the archetype, the original notion of divisor found a natural extension.

Divisibility is a useful concept for the analysis of the structure of commutative rings because of its relationship with the ideal structure of such rings.
省7

---

636(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/08/23(日)16:30 ID:ehdjUjVy(15/16) AAS
>>635
つづき

Zero as a divisor, and zero divisors
・Some authors require a to be nonzero in the definition of divisor, but this causes some of the properties above to fail.
・If one interprets the definition of divisor literally, every a is a divisor of 0, since one can take x = 0. Because of this, it is traditional to abuse terminology by making an exception for zero divisors: one calls an element a in a commutative ring a zero divisor if there exists a nonzero x such that ax = 0.[3]
(引用終り)
以上

---

637(1): 2020/08/23(日)17:02 ID:7NMituVg(9/11) AAS
>>635-636
貴様、なにがしたいの？

---

上下前次1-新書関写板覧索設栞歴

---

ｽﾚ情報 赤ﾚｽ抽出 画像ﾚｽ抽出 歴の未読ｽﾚ AAｻﾑﾈｲﾙ

---

ぬこの手 ぬこTOP 0.057s