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Titlebook: Ordered Algebraic Structures; The 1991 Conrad Conf J. Martinez,C. Holland Book 1993 Kluwer Academic Publishers 1993 Algebraic structure.Lat

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楼主: ergonomics
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Big Subgroups of Automorphism Groups of Doubly Homogeneous ChainsWe seek new maximal subgroups of the group .(R) of order-automorphisms of the real line R. This leads us to investigate supplements of the normal subgroup B(R) consisting of the elements of bounded support. (A . of . is a subgroup . of . such that . = . R could be replaced by the rational line Q, and often by any doubly homogeneous chain Ω.
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Central f-Elements in Lattice-Ordered AlgebrasIn [11] Ka Hin Leung has shown that the following statements are equivalent for a totally ordered domain R.
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Isotone Projection Conesconverse is true. Their methods are somewhat complicated and depend on a number of auxiliary concepts. In this note we show that with a slight modification of the definition of correctness the converse is true without the restriction to finite dimensionality. At the same time we give more transparent proofs of their necessity results.
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Natural Partial Orders on Division Rings with Involution, b ∈ ., and where II is the strictly positive cone for an additive partial group order on (., +). The involution defines several natural multiplicative subgroups . ⊂ . 0, and the positive cones are defined by II = .., where .. consists of all the finite sums of elements of ..
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Torsion Classes of Vector Latticesoup or a conditionally laterally complete . -group, then . is a vector lattice if and only if each . is a vector lattice, which is true if and only if each ., with . a special element, is a vector lattice.
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