Cointegrations, relative cohomology for comodules, and coseparable corings
نویسندگان
چکیده
منابع مشابه
On Corings and Comodules
It is shown that the categories of R-coalgebras for a commutative unital ring R and the category of A-corings for some R-algebra A as well as their respective categories of comodules are locally presentable.
متن کاملOn Coseparable and Biseparable Corings
A relationship between coseparable corings and separable non-unital rings is established. In particular it is shown that an A-coring C has an associative A-balanced product. A Morita context is constructed for a coseparable coring with a grouplike element. Biseparable corings are defined, and a conjecture relating them to Frobenius corings is proposed.
متن کاملFundamental Constructions for Coalgebras, Corings, and Comodules
We study the various categories of corings, coalgebras, and comodules from a categorical perspective. Emphesis is given to the question which properties of these categories can be seen as instances of general categorical resp. algebraic results. We obtain new results concerning the existence of limits and of factorizations of morphisms. MSC 2000: Primary 16W30, Secondary 18C05
متن کاملCoprime Comodules and Coprime Corings
Prime objects were defined as generalization of simple objects in the categories of rings (modules). In this paper we introduce and investigate what turns out to be a suitable generalization of simple corings (simple comodules), namely coprime corings (coprime comodules). Moreover, we consider several primeness notions in the category of comodules of a given coring and investigate their relatio...
متن کاملFully Coprime Comodules and Fully Coprime Corings
Prime objects were defined as generalization of simple objects in the categories of rings (modules). In this paper we introduce and investigate what turns out to be a suitable generalization of simple corings (simple comodules), namely fully coprime corings (fully coprime comodules). Moreover, we consider several primeness notions in the category of comodules of a given coring and investigate t...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1989
ISSN: 0021-8693
DOI: 10.1016/0021-8693(89)90329-3