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searching for Nilpotent algebra 4 found (5 total)

Locally nilpotent (145 words) [view diff] no match in snippet view article find links to article

In the mathematical field of commutative algebra, an ideal I in a commutative ring A is locally nilpotent at a prime ideal p if Ip, the localization of

Solvable Lie algebra (1,606 words) [view diff] exact match in snippet view article find links to article

solvable algebra is solvable, while a central extension of a nilpotent algebra by a nilpotent algebra is nilpotent. A solvable nonzero Lie algebra has a nonzero

Cartan subalgebra (2,026 words) [view diff] exact match in snippet view article find links to article

subalgebra is not a Cartan subalgebra, since it is contained in the nilpotent algebra of strictly upper triangular matrices (or, since it is normalized

Abstract algebra (4,175 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mathbb {C} } uniquely decomposes into the direct sums of a nilpotent algebra and a semisimple algebra that is the product of some number of simple