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- W2619685995 abstract "Let F be a field. It is known that if A is a finitely dimensional hereditary F -algebra then the dual A∗ =HomF(A,F) is acohereditary F -coalgebra. On the other hand if C is a finitely dimensional cohereditary F -coalgebra then thedual ( ) F C∗ =Hom C,F is a hereditary F -algebra. As a result, if C is a finitely dimensional F -coalgebra then C isa cohereditary F -coalgebra if and only if the dual C∗ is a hereditary F -algebra. In this paper we enlarge the class ofalgebras and coalgebras under consideration. Particularly we show that properties similar to the above results areobtained for a class of algebras and coalgebras over a self injective commutative ring R where the algebras andcoalgebras, as R -modules, are locally projective." @default.
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- W2619685995 date "2008-06-18" @default.
- W2619685995 modified "2023-10-16" @default.
- W2619685995 title "An intertwining of a hereditary algebra and a cohereditary coalgebra" @default.
- W2619685995 doi "https://doi.org/10.11113/mjfas.v4n1.35" @default.
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