Weak c-ideals of Leibniz algebras

نویسندگان

چکیده

A subalgebra B of a Leibniz algebra L is called weak c-ideal if there subideal C such that L=B+C and B∩C⊆BL where BL the largest ideal contained in B. This analogous to concept weakly c-normal subgroup, which has been studied by number authors. We obtain some properties c-ideals use them give characterizations solvable supersolvable algebras generalizing previous results for Lie algebras. note one-dimensional are c-ideals, show result Turner classifying every false general algebras, but holds symmetric ones.

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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2023

ISSN: ['1532-4125', '0092-7872']

DOI: https://doi.org/10.1080/00927872.2023.2215340