Abstract
The words “some problems” in the title of this article mean primarily that the article considers absolutely no results about algebras of finite dimension. Among other questions that remain outside the scope of the article, we mention, for example, various theorems about decomposition of algebras (see for example [47, 70]) which are closely related to the theory of algebras of finite dimension.
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Shirshov, A.I. (2009). Some Problems in the Theory of Rings that are Nearly Associative. In: Bokut, L., Shestakov, I., Latyshev, V., Zelmanov, E. (eds) Selected Works of A.I. Shirshov. Contemporary Mathematicians. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8858-4_10
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