Radical irregularity of some polynomial rings
Andrzej Nowicki (1978)
Colloquium Mathematicae
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Displaying similar documents to “Necklace rings and their radicals.”
Radical irregularity of some polynomial rings
Polynomial identities and radicals
B. J. Gardner (1977)
Compositio Mathematica
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The radicalness of polynomial rings over nil rings.
Tumurbat, S. (2002)
Mathematica Pannonica
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On unital extensions of near-rings and their radicals.
Veldsman, Stefan (1992)
Mathematica Pannonica
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On some Results Related to Köthe's Conjecture
Agata, Smoktunowicz (2001)
Serdica Mathematical Journal
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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.
Additive radicals
Konstantin Igorevich Beidar, Katarina Trokanová-Salavová (1989)
Czechoslovak Mathematical Journal
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Radicals which coincide on a class of rings.
Sands, A.D. (1997)
Mathematica Pannonica
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Some notes on upper radical classes
Propes, R.E. (1975)
Portugaliae mathematica
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The closure of radical classes under finite subdirect products
B. J. Gardner, Patrick N. Stewart (1982)
Compositio Mathematica
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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...