1. Simple algebraIn mathematics, specifically in ring theory, an algebra is simple if it contains no non-trivial two-sided ideals and the set {ab | a, b are elements of the algebra} ≠ {0}. The second condition in the definition precludes the following situation: consider the algebra with the usual matrix operations. This is a one-dimensional algebra in which the product of any two elements is zero. This condition ensures that the algebra has a minimal nonzero left ideal, which simplifies certain arguments.
Read “Simple algebra” on English Wikipedia
Read “単純環” on Japanese Wikipedia
Read “Simple algebra” on DBpedia
Read “Simple algebra” on English Wikipedia
Read “単純環” on Japanese Wikipedia
Read “Simple algebra” on DBpedia
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