Definition of Subcoalgebras. Meaning of Subcoalgebras. Synonyms of Subcoalgebras

Here you will find one or more explanations in English for the word Subcoalgebras. Also in the bottom left of the page several parts of wikipedia pages related to the word Subcoalgebras and, of course, Subcoalgebras synonyms and on the right images related to the word Subcoalgebras.

Definition of Subcoalgebras

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Meaning of Subcoalgebras from wikipedia

- be a coalgebra. Every coalgebra is the sum of its finite-dimensional subcoalgebras, something that is not true for algebras. Abstractly, coalgebras are...
- right comodules are 1-dimensional and thus the sum of all its simple subcoalgebras forms a group algebra called the coradical: In 2002 H.-J. Schneider...
- A subalgebra A of a Hopf algebra H is a Hopf subalgebra if it is a subcoalgebra of H and the antipode S maps A into A. In other words, a Hopf subalgebra...
- principle for coalgebras, any f ∈ C (V) must belong to a finite-dimensional subcoalgebra of C (V). Using the duality pairing with T(V∗), it follows that f ∈ C (V)...
- One easily checks that A k ( n , r ) {\displaystyle A_{k}(n,r)} is a subcoalgebra of the bialgebra k [ x i j ] {\displaystyle k[x_{ij}]} , for every r ≥ 0...