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В статье устанавлива ется изоморфизм аниз отропных пространств БесоваB p (r)(R n ) пространству послед овательностей изl θ со значениями вl p . Дается также описание прост ранстваB p (r)(R n ) как изоморфного о браза некоторого «нулевого» простран ства при действии на него оператора бессе лева интегрирования.

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We prove that every Abelian group G is determined up to an isomorphism by the subgroup lattice of the group ℤ × G and some other similar results.

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Abstract  

G. Grtzer and F. Wehrung has recently introduced the lattice tensor product, AB, of the lattices A and B. In this note, for a finite lattice A and an arbitrary lattice B, we compute the ideal lattice of AB, obtaining the isomorphism Id(AB)≌A⊠Id B. This generalizes an earlier result of G. Grtzer and F. Wehrung proving this isomorphism for A = M_3 and B n-modular. We prove this isomorphism by utilizing the coordinatization of AB introduced in Part I of this paper.

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