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arXiv · 1110.6501

Algebras stratified for all linear orders

Liping Li
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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 $\preccurlyeq$, $\mathcal{F} (_{\preccurlyeq} Δ)$, the category of $A$-modules with $_{\preccurlyeq} Δ$-filtrations, is closed under cokernels of monomorphisms, and classify quasi-hereditary algebras satisfying this property.

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Liping Li. 2012-04-23. Algebras stratified for all linear orders. https://doi.org/10.1007/s10468-012-9347-1

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