semisimple ring

semisimple ring

[¦sem·i‚sim·pəl ′riŋ]
(mathematics)
A ring in which 1 does not equal 0, and which is semisimple as a left module over itself.
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References in periodicals archive ?
Conversely, if A is a semisimple ring, two finitely generated modules with equal annihilator ideals are similar.
Direct product decomposition of commutative semisimple rings, Proc.
Abian, Direct product decomposition of commutative semisimple rings, Proc.