On the Theory of Radicals of Distributively Generated Near-Rings II. The Nil-Radical
James C. Beidelman (1967)
Mathematische Annalen
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Displaying similar documents to “The nilpotency of near-rings”
On the Theory of Radicals of Distributively Generated Near-Rings II. The Nil-Radical
Defect And Radicals Of Δ-Endomorphism Near-Rings
Vučić Dašić (1982)
Publications de l'Institut Mathématique
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Hereditary right Jacobson radical of type- for right near-rings.
Srinivasa Rao, Ravi, Prasad, K.Siva, Srinivas, T. (2009)
Beiträge zur Algebra und Geometrie
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On some Radicals in Near-rings with a Defect of Distributivity
Vučić Dašić (1985)
Publications de l'Institut Mathématique
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Polynomial identities and radicals
B. J. Gardner (1977)
Compositio Mathematica
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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.
Some Generalisations of the Jacobson Radical for Seminearrings and Semirings.
Willy G. van Hoorn (1970)
Mathematische Zeitschrift
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Radicals for Near-Rings.
D. Ramakotaiah (1967)
Mathematische Zeitschrift
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Radicals which define factorization systems
Barry J. Gardner (1991)
Commentationes Mathematicae Universitatis Carolinae
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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.