A note on free abelian groups
Ladislav Procházka (1969)
Commentationes Mathematicae Universitatis Carolinae
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Ladislav Procházka (1969)
Commentationes Mathematicae Universitatis Carolinae
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Mikaelian, Vahagn H. (2002)
International Journal of Mathematics and Mathematical Sciences
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Sergei A. Gurchenkov (1992)
Mathematica Slovaca
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Barry J. Gardner, Michael M. Parmenter (2008)
Czechoslovak Mathematical Journal
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We continue the study of directoid groups, directed abelian groups equipped with an extra binary operation which assigns an upper bound to each ordered pair subject to some natural restrictions. The class of all such structures can to some extent be viewed as an equationally defined substitute for the class of (2-torsion-free) directed abelian groups. We explore the relationship between the two associated categories, and some aspects of ideals of directoid groups.
R. Balasubramanian, Gyan Prakash (2007)
Acta Arithmetica
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Dao Rong Tong (1998)
Czechoslovak Mathematical Journal
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The objective of this paper is to give two descriptions of the -free products of archimedean -groups and to establish some properties for the -free products. Specifically, it is proved that -free products satisfy the weak subalgebra property.