Liping Li. Algebras stratified for all linear orders
Natural Sciences / Mathematics / Algebra
Submitted on: Apr 23, 2012, 19:25:35
Description: 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 preorder $preccurlyeq$, $mathcal{F} (_{preccurlyeq} Delta)$, the category of $A$-modules with $_{preccurlyeq} Delta$-filtrations, is closed under cokernels of monomorphisms, and classify quasi-hereditary algebras satisfying this property.