Definition of Subcoalgebras. Meaning of Subcoalgebras. Synonyms of Subcoalgebras
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Definition of Subcoalgebras
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- be a coalgebra. Everycoalgebra is the sum of its finite-dimensional subcoalgebras, something that is not true for algebras. Abstractly, coalgebras are... - rightcomodules are 1-dimensional and thus the sum of all its simplesubcoalgebrasforms a groupalgebracalled 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... - One easilychecks 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... - principle for coalgebras, any f ∈ C (V) must belong to a finite-dimensional subcoalgebra of C (V). Using the dualitypairing with T(V∗), it follows that f ∈ C (V)...
