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Strong Connections and Invertible Weak Entwining Structures

Strong Connections and Invertible Weak Entwining Structures
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摘要 In this paper we obtain a criterion under which the bijectivity of the canonical morphism of a weak Galois extension associated to a weak invertible entwining structure is equivalent to the existence of a strong connection form. Also we obtain an explicit formula for a strong connection under equivariant projective conditions or under coseparability conditions. In this paper we obtain a criterion under which the bijectivity of the canonical morphism of a weak Galois extension associated to a weak invertible entwining structure is equivalent to the existence of a strong connection form. Also we obtain an explicit formula for a strong connection under equivariant projective conditions or under coseparability conditions.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第7期1443-1460,共18页 数学学报(英文版)
基金 Supported by Ministerio de Educació n, Xunta de Galicia and by FEDER (Grant Nos. MTM2010-15634,MTM2009-14464-C02-01, PGIDT07PXB322079PR)
关键词 Monoidal category invertible weak entwining structure strong connection weak Galois extension Monoidal category, invertible weak entwining structure, strong connection, weak Galois extension
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