(*)-serial coalgebras. (Q692655)
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scientific article; zbMATH DE number 6113019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | (*)-serial coalgebras. |
scientific article; zbMATH DE number 6113019 |
Statements
(*)-serial coalgebras. (English)
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6 December 2012
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The authors introduce the notion of (*)-serial coalgebras that is a generalisation of serial coalgebras. A coalgebra is said to be (*)-serial, if is both right and left (*)-serial, i.e. if its right (resp. left) injective indecomposable comodules are uniserial or biserial. In the paper properties of (*)-serial coalgebras and their comodules are investigated. One of the main results is Theorem 3.1 that gives necessary and sufficient conditions for a coalgebra to be (*)-serial. In Theorem 3.3 the authors describe properties of the right valued Gabriel quiver of a basic right (*)-serial coalgebra. Moreover some properties of comodules over (*)-serial coalgebras are investigated.
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generalizations of serial coalgebras
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biserial comodules
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injective indecomposable comodules
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Gabriel quivers
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uniserial comodules
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