On radicals of Novikov algebras

نویسندگان

چکیده

We show that in a prime nonassociative Novikov algebra every nonzero ideal is non-associative. prove Baer (and Andrunakievich) radical and the largest left quasiregular coincide finite dimensional algebras over field of characteristic 0 or algebraically closed odd characteristic. non-existence right algebras.

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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2023

ISSN: ['1532-4125', '0092-7872']

DOI: https://doi.org/10.1080/00927872.2023.2235420