Mon Feb 12
Def. Nilpotents, radical ideals, zero divisors, domain, principal ideal, principal ideal domain, Euclidean domain.
Prop. If R has no nilpotents, but ab=0, we can embed R in R/< a > + R/< b >.
Theorem. EDs are PIDs.
Warning: EDs are a stupid concept, not the same level of importance as PIDs.
Prop. If R has no nilpotents, but ab=0, we can embed R in R/< a > + R/< b >.
Theorem. EDs are PIDs.
Warning: EDs are a stupid concept, not the same level of importance as PIDs.
posted by Allen Knutson @ 1:17 PM
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