An ideal structure is a foundational concept in algebra, referring to a special subset of a ring that absorbs multiplication by elements from the ring. This means that if you take any element from the ring and multiply it with an element from the ideal, the result will still be in the ideal. In the context of Malcev algebras, understanding ideal structures is crucial for analyzing the properties and behaviors of these algebras, particularly in how they relate to their quotients and representations.
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