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Johnson, D. G.

A structure theory for a class of lattice-ordered rings. (English) Zbl 0094.25305

Acta Math. 104, 163-215 (1960).
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Cited in 2 Reviews
Cited in 39 Documents

Keywords:

rings, modules, fields
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References:

[1] Artin, E.,Geometric Algebra. Interscience, New York, 1957. · Zbl 0077.02101
[2] Birkhoff, G.,Lattice Theory, Rev. ed., Colloquium Publication no. 25, Amer. Math. Soc., New York, 1948. · Zbl 0033.10103
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[4] Bourbaki, N.,Algèbre. (Chap. VI.) Actualités Scientifiques et Industrielles, no. 1179, Paris, 1952. · Zbl 0049.01801
[5] Brainerd, B., On a class of lattice-ordered rings.Proc. Amer. Math. Soc., 8 (1957). 673–683. · Zbl 0086.31401 · doi:10.1090/S0002-9939-1957-0089179-6
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[9] Dorroh, J. L., Concerning adjunctions to algebras.Bull. Amer. Math. Soc., 38 (1932), 85–88. · Zbl 0003.38701 · doi:10.1090/S0002-9904-1932-05333-2
[10] Gillman, L. &Henriksen, M., Concerning rings of continuous functions.Trans. Amer. Math. Soc., 77 (1954), 340–362. · Zbl 0058.10003 · doi:10.1090/S0002-9947-1954-0063646-5
[11] Hion, Ya. V., Archimedean ordered rings.Uspehi Mat. Nauk (N. S.), 9 (1954), 237–242 (Russian); Math. Rev. vol. 16, p. 442.
[12] –, Ordered associative rings.Dokl. Akad. Nauk SSSR (N. S.), 101 (1955), 1005–1007. (Russian); Math. Rev. vol. 17, p. 8.
[13] Jacobson, N.,Structure of Rings. Colloquium Publication no. 37, Amer. Math. Soc., Providence, 1956. · Zbl 0073.02002
[14] Jaffard, P., Contribution à l’étude des groupes ordonnés.J. Math. Pures Appl., 32 (1953), 203–280. · Zbl 0051.01303
[15] Johnson, R. E., On ordered domains of integrity.Proc. Amer. Math. Soc., 3 (1952), 414–416. · Zbl 0047.03103 · doi:10.1090/S0002-9939-1952-0047018-9
[16] Malcev, A., On the immersion of an algebraic ring into a field.Math. Ann., 113 (1936), 686–691. · Zbl 0015.38801 · doi:10.1007/BF01571659
[17] McCoy, N. H., Subdirectly irreducible commutative rings.Duke Math. J., 12 (1945), 381–387. · Zbl 0060.05901 · doi:10.1215/S0012-7094-45-01232-4
[18] –,Rings and Ideals. Carus Monograph no. 8, Math. Assoc. of Amer., Buffalo, 1948.
[19] –, Prime ideals in general rings.Amer. J. Math., 71 (1949), 823–833. · Zbl 0035.01804 · doi:10.2307/2372366
[20] Pierce, R. S., Radicals in function rings.Duke Math. J., 23 (1956), 253–261. · Zbl 0071.26002 · doi:10.1215/S0012-7094-56-02323-7
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