Displaying similar documents to “Addendum to 'Generalized radical rings, unknotted biquandles, and quantum groups' (Colloq. Math. 109 (2007), 85-100)”

Generalized radical rings, unknotted biquandles, and quantum groups

Wolfgang Rump (2007)

Colloquium Mathematicae

Similarity:

Generalized radical rings (braces) were introduced for the study of set-theoretical solutions of the quantum Yang-Baxter equation. We discuss their relationship to groups of I-type, virtual knot theory, and quantum groups.

On some Results Related to Köthe's Conjecture

Agata, Smoktunowicz (2001)

Serdica Mathematical Journal

Similarity:

The Köthe conjecture states that if a ring R has no nonzero nil ideals then R has no nonzero nil one-sided ideals. Although for more than 70 years significant progress has been made, it is still open in general. In this paper we survey some results related to the Köthe conjecture as well as some equivalent problems.

On A -radicals

Sodnomkhorloo Tumurbat, Richard Wiegandt (2006)

Mathematica Slovaca

Similarity:

Radicals of ideals that are not the intersection of radical primes

D. Laksov, M. Rosenlund (2005)

Fundamenta Mathematicae

Similarity:

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...