Linear flags and Koszul filtrations
نویسندگان
چکیده
منابع مشابه
Noncommutative Koszul filtrations
A standard associative graded algebra R over a field k is called Koszul if k admits a linear resolution as an R-module. A (right) R-module M is called Koszul if it admits a linear resolution too. Here we study a special class of Koszul algebras — roughly say, algebras having a lot of Koszul cyclic modules. Commutative algebras with similar properties (so-called algebras with Koszul filtrations)...
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The closure of the convex cone generated by all flag f -vectors of graded posets is shown to be polyhedral. In particular, we give the facet inequalities to the polar cone of all nonnegative chain-enumeration functionals on this class of posets. These are in one-to-one correspondence with antichains of intervals on the set of ranks and thus are counted by Catalan numbers. Furthermore, we prove ...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2015
ISSN: 2156-2261
DOI: 10.1215/21562261-3089028