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searching for Jacobson radical 6 found (74 total)

Associative algebra (4,256 words) [view diff] exact match in snippet view article find links to article

that A is Artinian simplifies the notion of a Jacobson radical; for an Artinian ring, the Jacobson radical of A is the intersection of all (two-sided) maximal

Pseudo-ring (203 words) [view diff] exact match in snippet view article find links to article

Math. Soc. New Series. 28: 1–6. Patterson, Edward M. (1965). "The Jacobson radical of a pseudo-ring". Math. Z. 89 (4): 348–364. doi:10.1007/bf01112167

Weyl's theorem on complete reducibility (2,465 words) [view diff] exact match in snippet view article find links to article

finite-dimensional algebra, it is an Artinian ring; in particular, the Jacobson radical J is nilpotent. If V is simple, then J V ⊂ V {\displaystyle JV\subset

Lift (mathematics) (718 words) [view diff] exact match in snippet view article

characteristic zero. SBI ring allows idempotents to be lifted above the Jacobson radical. Ikeda lift Miyawaki lift of Siegel modular forms Saito–Kurokawa lift

Algebra extension (837 words) [view diff] exact match in snippet view article find links to article

Wedderburn principal theorem, a statement about an extension by the Jacobson radical. Sernesi 2007, 1.1.1. Typical references require sections be homomorphisms

Kevin McCrimmon (707 words) [view diff] exact match in snippet view article find links to article

Leslie; McCrimmon, Kevin (1981). "Maximal modular inner ideals and the Jacobson radical of a Jordan algebra". Journal of Algebra. 68 (1): 155–169. doi:10