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Dikran Dikranjan 《代数通讯》2015,43(1):212-224
Using the nice properties of the w-divisible weight and the w-divisible groups, we prove a factorization theorem for compact abelian groups K; namely, K = K tor × K d , where K tor is a bounded torsion compact abelian group and K d is a w-divisible compact abelian group. By Pontryagin duality this result is equivalent to the same factorization for discrete abelian groups proved in [9]. 相似文献
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Tomohiro Okuma 《Mathematische Nachrichten》2015,288(2-3):343-352
From a resolution graph with certain conditions, Neumann and Wahl constructed an equisingular family of surface singularities called splice quotients. For this class some fundamental analytic invariants have been computed from their resolution graph. In this paper we give a method to compute the multiplicity of an abelian covering of a splice quotient from its resolution graph and the Galois group. 相似文献
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Thompson’s theorem indicates that a finite group with a nilpotent maximal subgroup of odd order is solvable. As an important
application of Thompson’s theorem, a finite group is solvable if it has an abelian maximal subgroup. In this paper, we give
some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable. 相似文献
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The paper proposes a general procedure to find the form of the gauge fixing term in the extended BRST quantization of the gauge theories, a difficult problem in the standard approach. Our proposal is based on the many level structure of the extended spaces and leads to a simple form of the gauge fixing term. The abelian 2‐form model is completely analyzed as an example. 相似文献
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讨论了关于结合环和半群的二个定理。并且由结合环的这二个定理推出了如下准则:结合环R是Abel-正则的,当且仅当R的每个拟理想是正则环。 相似文献
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Let (G,u) be an Archimedean norm-complete dimension group with order-unit. Continuing a previous paper, we study intervals (i.e., nonempty upward directed lower subsets) of G which are closed with respect to the canonical norm of (G,u). In particular, we establish a canonical one-to-one correspondence between closed intervals of G and certain affine lower semicontinuous functions on the state space of (G,u), which allows us to solve several problems of K. R. Goodearl about inserting affine continuous functions between convex upper semicontinuous and concave lower semicontinuous functions. This yields in turn new results about analogues of multiplier groups for norm-closed intervals. 相似文献
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Sylvia Pulmannová 《Czechoslovak Mathematical Journal》2006,56(1):155-178
The notion of a partially ordered partial abelian monoid is introduced and extensions of partially ordered abelian monoids
by partially ordered abelian groups are studied. Conditions for the extensions to exist are found. The cases when both the
above mentioned structures have the Riesz decomposition property, or are lattice ordered, are treated. Some applications to
effect algebras and MV-algebras are shown. 相似文献