Ideal class groups of cyclotomic number fields I
Franz Lemmermeyer (1995)
Acta Arithmetica
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Franz Lemmermeyer (1995)
Acta Arithmetica
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Rüdiger Göbel, Simone Pabst (1998)
Fundamenta Mathematicae
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The paper deals with realizations of R-algebras A as endomorphism algebras End G ≅ A of suitable R-modules G over a commutative ring R. We are mainly interested in the case of R having "many prime ideals", such as R = ℝ[x], the ring of real polynomials, or R a non-discrete valuation domain
Harald Niederreiter, Chaoping Xing (1997)
Acta Arithmetica
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Norihiko Minami (1998)
Fundamenta Mathematicae
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Manfred Lochter (1994)
Acta Arithmetica
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Robert El Bashir, Tomáš Kepka (1998)
Fundamenta Mathematicae
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For every module M we have a natural monomorphism and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.
Karen Brucks, Henk Bruin (1999)
Fundamenta Mathematicae
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We discuss the inverse limit spaces of unimodal interval maps as topological spaces. Based on the combinatorial properties of the unimodal maps, properties of the subcontinua of the inverse limit spaces are studied. Among other results, we give combinatorial conditions for an inverse limit space to have only arc+ray subcontinua as proper (non-trivial) subcontinua. Also, maps are constructed whose inverse limit spaces have the inverse limit spaces of a prescribed set of periodic unimodal...