Results 1 to 10 of about 62,459 (159)
JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH [PDF]
Glasgow Mathematical Journal, 2013 AbstractWe show that over every countable algebraically closed field $\mathbb{K}$ there exists a finitely generated $\mathbb{K}$-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth. We also propose a way of constructing examples of algebras with quadratic growth that satisfy special types ...
Smoktunowicz, Agata, Young, Alexander A.
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Fuzzy Small Submodule and Jacobson 𝐿-Radical [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 Using the notion of fuzzy small submodules of a module, we introduce the concept of fuzzy coessential extension of a fuzzy submodule of a module. We attempt to investigate various properties of fuzzy small submodules of a module.
Saifur Rahman, Helen K. Saikia
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Coincidence of the right Jacobson radical and the left Jacobson radical in a gamma ring [PDF]
Tsukuba Journal of Mathematics, 1979 The notion of a Γ-ring was first introduced by Nobusawa [1]. The class of Γ-rings contains not only all rings but also all Hestenes ternary rings. ..
Kyuno Shoji
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THE JACOBSON RADICAL OF A PROPOSITIONAL THEORY [PDF]
The Bulletin of Symbolic Logic, 2021 AbstractAlongside the analogy between maximal ideals and complete theories, the Jacobson radical carries over from ideals of commutative rings to theories of propositional calculi. This prompts a variant of Lindenbaum’s Lemma that relates classical validity and intuitionistic provability, and the syntactical counterpart of which is Glivenko’s Theorem ...
Fellin, Giulio +2 more
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A Bezout ring with nonzero principal Jacobson radical
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we study a commutative Bezout domain with nonzero Jacobson radical being a principal ideal. It has been proved that such a Bezout domain is a ring of the stable range 1.
A.I. Gatalevych, A.A. Dmytruk
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Left Braces: Solutions of the Yang-Baxter Equation [PDF]
Advances in Group Theory and Applications, 2018 This is a survey on the theory of left braces, an algebraic structure introduced by Rump as a generalization of Jacobson radical rings to study non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation.
Ferran Cedó
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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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A Note on Non – Singular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2005 In this paper several new properties of singular ideals and non- singular rings are obtained, a connection between a singular ideal and the Jacobson radical is considered , and a sufficient condition for a non- singular ring to be reduced is given.
Nazar Shuker, Anas Youns AL-Mashhdanny
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Strongly Nil* Clean Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2022 An element is known a strongly nil* clean element if a=e1 - e1e2 + n , where e1,e2 are idempotents and n is nilpotent, that commute with one another.
Muayad Alali, Nazar Shuker
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Fuzzy essential-small submodules and fuzzy small-essential submodules [PDF]
Journal of Hyperstructures, 2020 In this paper, we introduce the concepts of a fuzzy essential-small submodule and a fuzzy small-essential submodule ofa module. We investigate various properties of such fuzzy submodules.
Jyoti Ashok Khubchandani +1 more
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