Abstract
Quasi-hereditary rings are defined as generalizations of quasi-hereditary algebras; it is shown that some of the main properties of quasi-hereditary algebras carry over to quasi-hereditary rings. In particular, a generalization of the concept of highest weight categories gives a class of classical orders which satisfy our definition of quasi-heredity. For this class of orders the category of good lattices is investigated and it is shown that this category has almost split sequences.
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König, S. Quasi-hereditary orders. Manuscripta Math 68, 417–433 (1990). https://doi.org/10.1007/BF02568775
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DOI: https://doi.org/10.1007/BF02568775