Search results for "Division ring"

showing 2 items of 2 documents

Some generalizations of the center of a ring

1978

Si generalizza la nozione di ipercentro introdotta da Herstein in [3] e si trova una forma equivalente alla congettura di Koethe.

AlgebraPure mathematicsRing (mathematics)General MathematicsPrime idealPrime ringDivision ringCenter (algebra and category theory)Algebra over a fieldMathematicsRendiconti del Circolo Matematico di Palermo
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Derivations on a Lie Ideal

1988

AbstractIn this paper we prove the following result: let R be a prime ring with no non-zero nil left ideals whose characteristic is different from 2 and let U be a non central Lie ideal of R.If d ≠ 0 is a derivation of R such that d(u) is invertible or nilpotent for all u ∈ U, then either R is a division ring or R is the 2 X 2 matrices over a division ring. Moreover in the last case if the division ring is non commutative, then d is an inner derivation of R.

Discrete mathematicsPure mathematicsGeneral Mathematics010102 general mathematics010103 numerical & computational mathematics01 natural sciencesLie conformal algebralaw.inventionNilpotentInvertible matrixlawPrime ringDivision ringIdeal (ring theory)0101 mathematicsCommutative propertyMathematicsCanadian Mathematical Bulletin
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