Unions of Chains of Primes
classification
🧮 math.RA
keywords
chainprimeprimespropertyunionsalwaysascendingbound
read the original abstract
The union of an ascending chain of prime ideals is not always prime. We show that this property is independent of the parallel property for semiprimes. We also show that the PI-class is a tight bound on the number of non-prime unions of subchains in a chain of primes in a PI-algebra.
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