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Unions of Chains of Primes
- Source :
- Journal of Pure and Applied Algebra, Volume 220, Issue 4, April 2016, Pages 1451-1461
- Publication Year :
- 2014
-
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.
- Subjects :
- Mathematics - Rings and Algebras
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Pure and Applied Algebra, Volume 220, Issue 4, April 2016, Pages 1451-1461
- Publication Type :
- Report
- Accession number :
- edsarx.1408.0892
- Document Type :
- Working Paper