分离 发表于 2025-3-25 06:51:57
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Lattice-Ordered Groups of Divisibility: An Expository IntroductionThis paper discusses the interplay between the theories of abelian ℓ-groups and Bezout domains via the group of divisibility This interplay depends on a one-to-one correspondence between onto ℓ-homomorphisms and overrings. A method for interpreting ℓ-embeddings in the context of Bezout domains is conjectured.mitten 发表于 2025-3-25 23:30:41
Recent Results on the Free Lattice-Ordered Group over a Right-Orderable GroupIn the following, we give a survey of recent results concerning when the free lattice-ordered group over a group retains some properties, such as nilpotency or solvability, of the original group.ALTER 发表于 2025-3-26 00:38:33
Periodic Extensions of Ordered GroupsA PARTIAL ORDER . on a group . is a subset . of . satisfying the following conditions:Outspoken 发表于 2025-3-26 05:38:47
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Some Applications of Definable Spine Analysis in Ordered Abelian GroupsThe quantifier elimination theorem for ordered abelian groups (o.a.g.) proved by Peter Schmitt , reduces the test for elementary equivalence of two ordered abelian groups G and H to countably many tests for elementary equivalence of Sp.(G) and Sp.(H) (definable spine) of convex subgroups of G and H.resuscitation 发表于 2025-3-26 15:46:26
Representation of a real polynomial f(X) as a sum of 2m-th powers of rational functionsFrom Becker’s Satz 2.14 in it follows that a polynomial f ∈ ℝ admits a representation .with g., h∈ ℝ if and only if f satisfies the following three conditions:.Once f satisfies these conditions, the problem arises how to obtain a representation (1) for f. This paper is concerned with that problem.Intellectual 发表于 2025-3-26 20:17:38
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