[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

Search:


View post   

>> No.12211404 [View]
File: 171 KB, 2132x2168, aapav.jpg [View same] [iqdb] [saucenao] [google]
12211404

>>12211385
Let [math]Q[/math] be the field of fractions of an integral domain [math]R[/math]. Then [math]|R| \le |Q| \le |R| \times |R|[/math], so it will be the same in the case [math]R[/math] is infinite. If [math]R[/math] is finite, then it is a field already, and so it is its own field of fractions. The answer is yes.

Navigation
View posts[+24][+48][+96]