Twin “Fano-snowflakes” over the smallest ring of ternions.
Saniga, Metod, Havlicek, Hans, Planat, Michel, Pracna, Petr (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “A Jacobson radical decomposition of the Fano-Snowflake configuration.”
Twin “Fano-snowflakes” over the smallest ring of ternions.
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A method due to Fay and Walls for associating a factorization system with a radical is examined for associative rings. It is shown that a factorization system results if and only if the radical is strict and supernilpotent. For groups and non-associative rings, no radical defines a factorization system.
Corrigendum to: “A concrete analysis of the radical concept".
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Radicals of ideals that are not the intersection of radical primes
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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...