Pre-torsors and equivalences
نویسندگان
چکیده
منابع مشابه
Pre-torsors and Equivalences
Properties of (most general) non-commutative torsors or A-B torsors are analysed. Starting with pre-torsors it is shown that they are equivalent to a certain class of Galois extensions of algebras by corings. It is then concluded that every faithfully flat unital pre-torsor admits a (left and right) flat (bimodule) connection. It is shown that a class of faithfully flat pre-torsors induces equi...
متن کاملPre-torsors and Galois Comodules Over Mixed Distributive Laws
We study comodule functors for comonads arising from mixed distributive laws. Their Galois property is reformulated in terms of a (so-called) regular arrow in Street’s bicategory of comonads. Between categories possessing equalizers, we introduce the notion of a regular adjunction. An equivalence is proven between the category of pre-torsors over two regular adjunctions (NA, RA) and (NB, RB) on...
متن کاملThe Comprehensive Factorization and Torsors
This is an expanded, revised and corrected version of the first author’s preprint [1]. The discussion of one-dimensional cohomology H in a fairly general category E involves passing to the (2-)category Cat(E) of categories in E . In particular, the coefficient object is a category B in E and the torsors that Hclassifies are particular functors in E . We only impose conditions on E that are sati...
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— We study the equations of universal torsors on rational surfaces.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2007
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2007.08.023