GRADED MORITA THEORY FOR GROUP CORING AND GRADED MORITA-TAKEUCHI THEORY
نویسندگان
چکیده
منابع مشابه
Morita Theory for Coring Extensions and Cleft Bicomodules
A Morita context is constructed for any comodule of a coring and, more generally, for an L-C bicomodule Σ for a coring extension (D : L) of (C : A). It is related to a 2-object subcategory of the category of k-linear functors M → M. Strictness of the Morita context is shown to imply the Galois property of Σ as a C-comodule and a Weak Structure Theorem. Sufficient conditions are found also for a...
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Let G be a finite group and let k be a field of characteristic p. It is known that a kG-module V carries a non-degenerate G-invariant bilinear form b if and only if V is self-dual. We show that whenever a Morita bimodule M which induces an equivalence between two blocks B(kG) and B(kH) of group algebras kG and kH is self-dual then the correspondence preserves self-duality. Even more, if the bil...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2012
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406678