Nonassociative valuations

Zelinsky, Daniel

doi:10.1090/S0002-9904-1948-08980-7

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Nonassociative valuations
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Bull. Amer. Math. Soc. 54 (1948), 175-183

References

A. A. Albert, On ordered algebras, Bull. Amer. Math. Soc. 46 (1940), 521–522. MR 1972, DOI 10.1090/S0002-9904-1940-07252-0
A. A. Albert, Quasigroups. I, Trans. Amer. Math. Soc. 54 (1943), 507–519. MR 9962, DOI 10.1090/S0002-9947-1943-0009962-7
Garrett Birkhoff, Lattice, ordered groups, Ann. of Math. (2) 43 (1942), 298–331. MR 6550, DOI 10.2307/1968871
R. H. Bruck, Contributions to the theory of loops, Trans. Amer. Math. Soc. 60 (1946), 245–354. MR 17288, DOI 10.1090/S0002-9947-1946-0017288-3
Henri Cartan, Un théorème sur les groupes ordonnés, Bull. Sci. Math. 63 (1939), 201–205 (French). MR 0000259
O. F. G. Schilling, Noncommutative valuations, Bull. Amer. Math. Soc. 51 (1945), 297–304. MR 11684, DOI 10.1090/S0002-9904-1945-08339-6

Additional Information

Journal: Bull. Amer. Math. Soc. 54 (1948), 175-183
DOI: https://doi.org/10.1090/S0002-9904-1948-08980-7
MathSciNet review: 0023815