Results 11 to 20 of about 3,828 (293)
On the Multiplicative Spectral Characterization of the Jacobson Radical
Quaestiones Mathematicae, 2008 Click on the link to view the abstract.Keywords: Banach algebras; Jacobson radical; spectrumQuaestiones Mathematicae 31(2008), 179 ...
Brits, RM
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On the nilpotency of the Jacobson radical for noetherian rings
Archiv Der Mathematik, 1998 Krause H. On the nilpotency of the Jacobson radical for noetherian rings. Archiv der Mathematik. 1998;70(6):435-437.Let R be a right noetherian ring of Krull dimension k and denote by J its Jacobson radical. Using a new definition of the powers J(alpha) (
Henning Krause, Krause Henning
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The Jacobson Radical of a Propositional Theory [PDF]
The Bulletin of Symbolic Logic, 2022 Alongside the analogy between maximal ideals and complete theories, the Jacobson radical carries over from ideals of commutative rings to theories of propositional calculi.
Wessel, Daniel +2 more
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A note on the Jacobson radical [PDF]
Proceedings of the American Mathematical Society, 1993 In this paper we solve a problem of Divinsky to represent the Jacobson radical as a lower radical class.
Yu Lee Lee
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A GENERALIZATION OF THE JACOBSON RADICAL [PDF]
Bulletin of the Korean Mathematical Society, 2004 For an associative ring \(R\) with identity let \(J(R) \) be the Jacobson radical of \(R\) and \(N(R)\) the non-left-invertible elements of \(R\). \(R\) has stable range one if for any \(a,b\in R\) such that \(Ra+Rb=R\) there exists \(y\in R\) such that \(a+yb\) is a unit.
Naghipour, A. R., Yamini, A. H.
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Jacobson radical of filtered algebras [PDF]
Proceedings of the American Mathematical Society, 1986 Using elementary graded ring theory methods we show that the Jacobson radical of certain filtered algebras is zero. We then use this to propose a simpler and more general proof of one of the main results contained in [1].
Erazm J. Behr
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JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH [PDF]
Glasgow Mathematical Journal, 2013 We show that over every countable algebraically closed field K there exists a finitely generated K-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth.
Young, Alexander A., Smoktunowicz, Agata
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A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The Fano-Snowflake, a specific configuration associated with the smallest ring of ternions $R_{diamondsuit}$ (arXiv:0803.4436 and arXiv:0806.3153), admits an interesting partitioning with respect to the Jacobson radical of $R_{diamondsuit}$. The totality
Metod Saniga, Petr Pracna
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Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 By a near-ring we mean a right near-ring. J0r, the right Jacobson radical of type 0, was introduced for near-rings by the first and second authors. In this paper properties of the radical J0r are studied. It is shown that J0r is a Kurosh-Amitsur radical
Ravi Srinivasa Rao +2 more
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A radical for right near-rings: The right Jacobson radical of type-0
International Journal of Mathematics and Mathematical Sciences, 2006 The notions of a right quasiregular element and right modular right ideal in a near-ring are initiated. Based on these J0r(R), the right Jacobson radical of type-0 of a near-ring R is introduced. It is obtained that J0r is a radical map and N(R)⊆J0r(R),
Ravi Srinivasa Rao, K. Siva Prasad
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