Local Characterizations for Decomposability of 2-Parameter Persistence Modules
نویسندگان
چکیده
We investigate the existence of sufficient local conditions under which poset representations decompose as direct sums indecomposables from a given class. In our work, indexing is product two totally ordered sets, corresponding to setting 2-parameter persistence in topological data analysis. Our interest belong so-called interval modules, by definition are indicator intervals poset. While whole class modules does not admit such characterization, we show that subclass rectangle one and it is, some precise sense, largest do so.
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2023
ISSN: ['1386-923X', '1572-9079']
DOI: https://doi.org/10.1007/s10468-022-10189-4