ALGEBRAS STRATIFIED FOR ALL LINEAR ORDERS
LIPING LI
Abstract. In this paper we describe several characterizations of basic finite- dimensional k-algebras A stratified for all linear orders, and classify their graded algebras as tensor algebras satisfying some extra property. We also discuss whether for a given linear order #, F(##), the category of A-modules with ##-filtrations, is closed under cokernels of monomorphisms, and classify quasi-hereditary algebras satisfying this property.