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Rings and partly ordered systems. (English) Zbl 0149.27702


MSC:

06F25 Ordered rings, algebras, modules
06F15 Ordered groups
13G05 Integral domains

Keywords:

group theory
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References:

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[8] ?: Partially ordered algebraic systems. Internat. series of monographs, vol. 28. Oxford-London-New York-Paris: Pergamon-Press 1963.
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[10] ?: Corps demi-valués. C. R. Acad. Sci. Paris231, 1401-1403 (1950). · Zbl 0039.02903
[11] Lorenz, K.: Über Strukturverbände von Verbandsgruppen. Acta Math. Acad. Sci. Hung.13, 55-67 (1962). · Zbl 0109.25502
[12] Lorenzen, P.: Über halbgeordnete Gruppen. Math. Z.52, 483-526 (1949/50). · Zbl 0035.29303
[13] ?: Die Erweiterung halbgeordneter Gruppen zu Verbandsgruppen. Math. Z.58, 15-24 (1953). · Zbl 0051.25302
[14] Nagata, M.: Local rings. Interscience Tracts, No. 13. New York and London: Interscience Publishers 1962.
[15] Prenowitz, W.: Projective geometries as multigroups Am. J. Math.65, 235-256 (1943). · Zbl 0063.06336
[16] ?: Descriptive geometries as multigroups. Trans. Am. Math. Soc.59, 333-380 (1946). · Zbl 0063.06337
[17] ?: Total lattices of convex sets and of linear spaces. Ann. Math.49, 659-688 (1948). · Zbl 0037.21601
[18] ? Spherical geometries and multigroups. Canadian J. Math.2, 100-119 (1950). · Zbl 0041.27203
[19] Schilling, O. F. G.: The theory of valuations. Math. Surveys Nr. IV. New York 1950. · Zbl 0037.30702
[20] Sik, F.: Über subdirekte Summen geordneter Gruppen. Czechosl. Math. J.10, 400-424 (1960). · Zbl 0102.26501
[21] Wyler, O.: Clans. Compositio Math.17, 172-189 (1966). · Zbl 0146.02004
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