Displaying similar documents to “Graded radical W type Lie algebras. I.”

Uniquely covered radical classes of ℓ -groups

Y. Zhang, Y. Wang (2001)

Czechoslovak Mathematical Journal

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It is proved that a radical class σ of lattice-ordered groups has exactly one cover if and only if it is an intersection of some σ -complement radical class and the big atom over σ .

Projective reparametrization of homogeneous curves

Boris Doubrov (2005)

Archivum Mathematicum

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We study the conditions when locally homogeneous curves in homogeneous spaces admit a natural projective parameter. In particular, we prove that this is always the case for trajectories of homogeneous nilpotent elements in parabolic spaces. On algebraic level this corresponds to the generalization of Morozov–Jacobson theorem to graded semisimple Lie algebras.

Radicals of ideals that are not the intersection of radical primes

D. Laksov, M. Rosenlund (2005)

Fundamenta Mathematicae

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Various kinds of radicals of ideals in commutative rings with identity appear in many parts of algebra and geometry, in particular in connection with the Hilbert Nullstellensatz, both in the noetherian and the non-noetherian case. All of these radicals, except the *-radicals, have the fundamental, and very useful, property that the radical of an ideal is the intersection of radical primes, that is, primes that are equal to their own radical. It is easy to verify that...