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Algebras Stratified for all Linear Orders

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In this paper we describe several characterizations of basic finite-dimensional \(\Bbbk\)-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 \(\preccurlyeq\), \(\mathcal{F} (_{\preccurlyeq} \Delta)\), the category of A-modules with \(_{\preccurlyeq} \Delta\)-filtrations, is closed under cokernels of monomorphisms, and classify quasi-hereditary algebras satisfying this property.

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  1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Liping Li

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  1. Liping Li
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Li, L. Algebras Stratified for all Linear Orders. Algebr Represent Theor 16, 1085–1108 (2013). https://doi.org/10.1007/s10468-012-9347-1

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