Definition of Comodules. Meaning of Comodules. Synonyms of Comodules

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Definition of Comodules

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Meaning of Comodules from wikipedia

- N\otimes C} be right C-comodules. Then an R-linear map f : M → N {\displaystyle f:M\rightarrow N} is called a (right) comodule morphism, or (right) C-colinear...
- through an equivalence of categories of comodules of ( A , Γ ) {\displaystyle (A,\Gamma )} to the category of comodules of ( v n − 1 E ( m ) ∗ / I n , v n...
- the Pareigis Hopf algebra is the Hopf algebra over a field k whose left comodules are essentially the same as complexes over k, in the sense that the corresponding...
- mil/-news/2010/07/16/42405-ripsaw-demonstrates-capabilities-at-apg/>. "Blog — COMODULE". www.comodule.com. Archived from the original on March 4, 2016. Retrieved Feb...
- ISBN 0-8247-0481-9, Zbl 0962.16026. Gómez-Torrecillas, José (1998), "Coalgebras and comodules over a commutative ring", Revue Roumaine de Mathématiques Pures et Appliquées...
- Kathryn; Shipley, Brooke (2016). "Waldhausen K-theory of spaces via comodules". Advances in Mathematics. 290: 1079–1137. arXiv:1402.4719. doi:10.1016/j...
- above always has objects. Note this can be applied to the situation of comodules over Hopf-algebroids to construct algebraic models of gerbes over affine...
- Likewise the representations of this Hopf algebra turn out to be Z2-graded comodules. This Hopf algebra gives the global properties of the supergroup. There...
- abelian group G and any object A of A. The abelian category is also a comodule; Hom(G,A) can be interpreted as an object of A. If A is complete, then...
- {\displaystyle H} a Hopf algebra, A {\displaystyle A} a left H {\displaystyle H} -comodule algebra, and C {\displaystyle C} a right H {\displaystyle H} -module coalgebra...