Pseudovaluations of Polynomials
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1293-1302
Voir la notice de l'article provenant de la source Cambridge University Press
A valuation of a ring K is a function where A is an archimedean ordered field and W has the properties of the absolute valuation; see (2, chap. X). The theory was extended in 1936 by K. Mahler (1), who introduced the concept of pseudovaluations. Whereas for a valuation we must always have for a pseudovaluation it is sufficient that
Nelson, R. Pseudovaluations of Polynomials. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1293-1302. doi: 10.4153/CJM-1967-118-2
@article{10_4153_CJM_1967_118_2,
author = {Nelson, R.},
title = {Pseudovaluations of {Polynomials}},
journal = {Canadian journal of mathematics},
pages = {1293--1302},
year = {1967},
volume = {19},
number = {1},
doi = {10.4153/CJM-1967-118-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-118-2/}
}
[1] 1. Mahler, K., Über Pseudobewertungen, I, Acta Math., 66 (1936), 79–119. Google Scholar
[2] 2. Van der Waerden, B. L., Modern algebra, Vol. 1 (Berlin, 1949). Google Scholar
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