On the existence of nonnegativity domains of subset of groups

• Autorzy: Glavosits T. , Száz A.
• Języki publikacji: EN

Słowa kluczowe

EN

groups; cancellability; nonnegativity domains

PL

domeny; grupy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 3
• Strony: 505--516
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Glavosits T.

• Institute of Mathematics and Informatics, University of Debrecen, H-4010 Debrecenm Pf. 12, Hungary

autor

Száz A.

• Institute of Mathematics and Informatics, University of Debrecen, H-4010 Debrecenm Pf. 12, Hungary

Bibliografia

• [1] J. C. Ault, Extensions of partial right orders on nilpotent groups, J. London Math. Soc. 2 (1970), 749-752.
• [2] P. Conrad, Right-ordered groups, Michigan Math. J. 6 (1959), 267-275.
• [3] C. J. Everett, Note on a result of L. Fuchs on ordered groups, Amer. J. Math. 72 (1950), 216.
• [4] L. Fuchs, Partially Ordered Algebraic Systems, Pergamon Press, Oxford, 1963.
• [5] K. Iwasawa, On linearly ordered groups, J. Math. Soc. Japan 1 (1948), 1-9.
• [6] F. W. Levi, Arithmetische Gesetze im Gebiete diskreter Gruppen, Rend. Circ. Mat. Palermo 35 (1913), 225-236.
• [7] P. Lorenzen, Abstrakte Begründung der multiplikativen Idelatheorie, Math. Z. 45 (1939), 533-553.
• [8] R. B. Mura and A. Rhemtulla, Orderable Groups, Marcel Dekker, New York, 1977.
• [9] M. Ohnishi, On linearization of ordered groups, Osaka J. Math. 2 (1950), 161-164.
• [10] M. Ohnishi, Linear-order on a group, Osaka J. Math. 4 (1952), 17-18.
• [11] H. Simbireva, On the theory of partially ordered groups, Mat. Sb. 20 (1947), 145-178 (in Russian).