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- W2897249970 abstract "A coalgebra is a module over commutative ring with comultiplication and counit. In ring theory, we know ideal over a ring and in coalgebra we also have a coideal over coalgebras. There are two definitions of coideal over coalgebra and we show that both of them are equivalence by some proof. Corings is the generalization of coalgebra by change commutative ring R with any ring (not need commutative). Coideal of Corings is defined analog with definition coideal of coalgebras. In this paper, we have some properties of coideal over coalgebras have a similar patterns with properties of ideals over rings. Intersections and sums two coideals are also coideals and this result can be generalized for the finite family of coideals." @default.
- W2897249970 created "2018-10-26" @default.
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- W2897249970 date "2018-09-01" @default.
- W2897249970 modified "2023-09-30" @default.
- W2897249970 title "Some Properties of Coideal over Coalgebras" @default.
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- W2897249970 doi "https://doi.org/10.1088/1742-6596/1097/1/012088" @default.
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