a) The idempotents Of (Z6,0,0,) are ONLY 0, b) The number 161 is an irreducible element in Z[i] c) A local Ring is a Ring with only One Prime ideal
a) The idempotents Of (Z6,0,0,) are ONLY 0, b) The number 161 is an irreducible element in Z[i] c) A local Ring is a Ring with only One Prime ideal
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Only true or false
![4) Mark True or False each of the following
a) The idempotents Of (Z6,0,0 ,) are ONLY 0, 1, and
b) The number 161 is an irreducible element in Z[i]
c) A local Ring is a Ring with only One Prime ideal
d) The ideal < 0> is a prime ideal in (Z₁2,,,).
e) If u E I where I is an Ideal in R and u is a unit Then I =
f) If R is an Integral domain, then the right cancellation law hol](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03a109a3-a8d2-4277-9729-957fd3abb494%2F518cb188-5155-46fb-b66c-e0935608c3c5%2Fw6omcv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4) Mark True or False each of the following
a) The idempotents Of (Z6,0,0 ,) are ONLY 0, 1, and
b) The number 161 is an irreducible element in Z[i]
c) A local Ring is a Ring with only One Prime ideal
d) The ideal < 0> is a prime ideal in (Z₁2,,,).
e) If u E I where I is an Ideal in R and u is a unit Then I =
f) If R is an Integral domain, then the right cancellation law hol
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