Algebras stratified for all linear orders

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 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.

Final version accepted by Alg. Repn. Theory

References in corpus (1)

• A generalized Koszul theory and its application

Cited by in corpus (2)

• A generalized Koszul theory and its application
• Extension algebras of standard modules