Extensions of solvable Lie algebras with naturally graded filiform nilradical

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چکیده

In this work, we consider extensions of solvable Lie algebras with naturally graded filiform nilradicals. Note that there exist two [Formula: see text] and We find all one-dimensional nilradical text]. prove exists a unique non-split central extension maximal codimension. Moreover, whose codimension is equal to one are found compared these the nilradicals algebra

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ژورنال

عنوان ژورنال: Journal of Algebra and Its Applications

سال: 2023

ISSN: ['1793-6829', '0219-4988']

DOI: https://doi.org/10.1142/s0219498824501615