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On groups with the almost orthogonality condition |
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| Authors: | Elen E. Shirshova |
| Affiliation: | Department of Mathematics , Moscow Pedagogical State University , Krasnoprudnaya,14, Moscow, 107140, Russia E-mail: shirshova.algebra@mpgu.msk.su |
| Abstract: | The concept of the orthogonality is important in the study of lattice-ordered groups. The purpose of this paper is to investigate a generalization of this concept to directed groups. The idea of an AO-group is introduced here. Some results are obtained concerning convex directed subgroups and Archimedean extensions of AO-groups. Interpolation AO-groups are also described. |
| Keywords: | Archimedean extension group with the almost orthogonality condition pseudo-lattice ordered group interpolation group almost orthogonal |