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- W3019400979 abstract "This paper is primarily concerned with studying finite-dimensional anti-commutative nonassociative algebras in which every centralizer is an ideal. These are shown to be anti-associative and are classified over a general field $F$; in particular, they are nilpotent of class at most $3$ and metabelian. These results are then applied to show that a Leibniz algebra over a field of charactersitic zero in which all centralizers are ideals is solvable." @default.
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- W3019400979 date "2020-04-25" @default.
- W3019400979 modified "2023-10-15" @default.
- W3019400979 title "On certain classes of algebras in which centralizers are ideals" @default.
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