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Fuzzy small right ideals of rings [PDF]
Journal of Hyperstructures, 2013 We introduce the notion of fuzzy small right ideal,fuzzy small right prime ideal and fuzzy maximal small right ideal in a ring. We have obtained necessary and sufficient condition for a fuzzy small right ideal to be fuzzy small prime right ideal. We have
P. Dheena, G. Mohanraj
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The Jacobson radical of a CSL algebra [PDF]
Transactions of the American Mathematical Society, 1994 Summary: Extrapolating from Ringrose's characterization of the Jacobson radical of a nest algebra, Hopenwasser conjectured that the radical of a CSL algebra coincides with the Ringrose ideal (the closure of the union of zero diagonal elements with respect to finite sublattices). A general interpolation theorem is proved that reduces this conjecture for
Davidson, Kenneth R., Orr, John Lindsay
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On Functional Inequalities Originating from Module Jordan Left Derivations
Journal of Inequalities and Applications, 2008 We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear
Ick-Soon Chang +2 more
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On spectrally finite Fréchet algebras [PDF]
Surveys in Mathematics and its Applications, 2022 We show that a spectrally finite Fréchet algebra is finite-dimensional modulo its Jacobson radical. If moreover, the algebra has no nonzero quasi-nilpotent elements, then it is semi-simple and commutative and so isomorphic to ℂn for an integer n∈ ℕ.
D. El Boukasmi, A. El Kinani
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Left-Right Cleanness and Nil Cleanness in Unital Rings
Известия Иркутского государственного университета: Серия "Математика", 2019 We introduce the notions of left and right cleanness and nil cleanness in rings showing their close relationships with the classical concepts of cleanness and nil cleanness.
P. V Danchev
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On Neutrosophic Multiplication Module [PDF]
Neutrosophic Sets and Systems, 2022 In this article, we investigate some new results of Neutrosophic multiplication module E (shortly Ne(E)). We additionally introduce some light points about some concepts in which have relationship with Neutrosophic multiplication module. We prove that if
Majid Mohammed Abed +2 more
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Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2 [PDF]
, 2013 For an arbitrary countable field, we construct an associative algebra that is graded, generated by two elements is Jacobson radical, is not nil, is prime, is not PI, and has Gelfand-Kirillov dimension two. This refutes a conjecture attributed to Goodearl.
Bartholdi, Laurent, Smoktunowicz, Agata
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Derivations in Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2002 We present some conditions which imply that a derivation on a Banach algebra maps the algebra into its Jacobson radical.
Kyoo-Hong Park +2 more
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The Jacobson radical of rings with nilpotent homogeneous elements [PDF]
, 2008 A result of Bergman says that the Jacobson radical of a graded algebra is homogeneous. It is shown that while graded Jacobson radical algebras have homogeneous elements nilpotent, it is not the case that graded algebras all of whose homogeneous elements ...
Smoktunowicz, Agata
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The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules
مجلة بغداد للعلوم, 2020 In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș = ( ), provided that is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed ...
Aljebory et al.
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