3-4 CERTAIN SPECIAL IDEALS 183 8. Derive the following results: a) The identity element of a subfield is the same as that of the field. b) If (F., +, ) is an indexed collection of subfields of the...

3-4<br>CERTAIN SPECIAL IDEALS<br>183<br>8. Derive the following results:<br>a) The identity element of a subfield is the same as that of the field.<br>b) If (F., +, ) is an indexed collection of subfields of the field (F,+, ), then<br>(n F, +,) is also a subfield of (F,-+,).<br>

Extracted text: 3-4 CERTAIN SPECIAL IDEALS 183 8. Derive the following results: a) The identity element of a subfield is the same as that of the field. b) If (F., +, ) is an indexed collection of subfields of the field (F,+, ), then (n F, +,) is also a subfield of (F,-+,).

Jun 04, 2022

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3-4 CERTAIN SPECIAL IDEALS 183 8. Derive the following results: a) The identity element of a subfield is the same as that of the field. b) If (F., +, ) is an indexed collection of subfields of the...

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