proof : every field is an integral domain
1.3 هزار بار بازدید -
2 سال پیش
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#field
#field
#fieldisanintegraldomain.
#rings.
#ringsandfield.
If a, b are elements of a field with ab = 0 then if a ≠ 0 it has an inverse a-1 and so multiplying both sides by this gives b = 0. Hence there are no zero-divisors and we have: Every field is an integral domain.
#fieldisanintegraldomain.
#rings.
#ringsandfield.
If a, b are elements of a field with ab = 0 then if a ≠ 0 it has an inverse a-1 and so multiplying both sides by this gives b = 0. Hence there are no zero-divisors and we have: Every field is an integral domain.
2 سال پیش
در تاریخ 1400/12/07 منتشر شده
است.
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