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Correction and notes to the paper 'A classification of Artin–Schreier defect extensions and characterizations of defectless fields'
- Source :
- Illinois J. Math. 63, no. 3 (2019), 463-468
- Publication Year :
- 2019
- Publisher :
- Duke University Press, 2019.
-
Abstract
- We correct a mistake in a lemma in the paper cited in the title and show that it did not affect any of the other results of the paper. To this end, we prove results on linearly disjoint field extensions that do not seem to be commonly known. We give an example to show that a separability assumption in one of these results cannot be dropped (doing so had led to the mistake). Further, we discuss recent generalizations of the original classification of defect extensions.
- Subjects :
- Discrete mathematics
Lemma (mathematics)
14B05
General Mathematics
13A18
010102 general mathematics
12J10
Mistake
Commutative Algebra (math.AC)
Linearly disjoint
Mathematics - Commutative Algebra
01 natural sciences
Primary 12J10, 13A18, Secondary 12J25, 12L12, 14B05
Field extension
0103 physical sciences
FOS: Mathematics
010307 mathematical physics
0101 mathematics
12J25
12L12
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Illinois J. Math. 63, no. 3 (2019), 463-468
- Accession number :
- edsair.doi.dedup.....5a250788b89d3fe3d937634b87c7662e