caa a22 4500 445869194 CHVBK 20180317145506.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00605-009-0147-6 doi (NATIONALLICENCE)springer-10.1007/s00605-009-0147-6 Weintraub Steven Department of Mathematics, Lehigh University, 18015, Bethlehem, PA, USA aut Observations on primitive, normal, and subnormal elements of field extensions [Elektronische Daten] [Steven Weintraub] Let B 1 and B 2 be disjoint separable algebraic extensions of a field F, and let B = B 1 B 2 be their composite. Let α 1 be an element of B 1 and α 2 be an element of B 2. Suppose α 1 and α 2 are primitive (resp. normal, resp. subnormal). We investigate the question of when α 1 + α 2 and α 1 α 2 are necessarily primitive (resp. normal, resp. subnormal) elements of B. (A normal element of a Galois extension is defined to be one that is part of a normal basis, and a subnormal element is defined analogously for a non-Galois extension). Springer-Verlag, 2009 Field extensions nationallicence Primitive element nationallicence Normal element nationallicence Subnormal element nationallicence Monatshefte für Mathematik Springer Vienna 162/2(2011-02-01), 239-244 0026-9255 162:2<239 2011 162 605 https://doi.org/10.1007/s00605-009-0147-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-009-0147-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Weintraub Steven Department of Mathematics, Lehigh University, 18015, Bethlehem, PA, USA aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 162/2(2011-02-01), 239-244 0026-9255 162:2<239 2011 162 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer