Results 11 to 20 of about 406 (182)
Reflexivity of rings via nilpotent elements [PDF]
Revista de la Unión Matemática Argentina, 2020 An ideal $I$ of a ring $R$ is called left N-reflexive if for any $a\in$ nil$(R)$, $b\in R$, being $aRb \subseteq I$ implies $bRa \subseteq I$ where nil$(R)$ is the set of all nilpotent elements of $R$. The ring $R$ is called left N-reflexive if the zero ideal is left N-reflexive.
Harmancı, Abdullah +3 more
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On the Existence of Ad-Nilpotent Elements [PDF]
Proceedings of the American Mathematical Society, 1977 A condition sufficient to guarantee the nilpotence of a derivation of a Lie algebra is given. It is used to obtain an elementary proof that a finite dimensional Lie algebra over an algebraically closed field of arbitrary characteristic necessarily contains an ad-nilpotent element.
Benkart, G. M., Isaacs, I. M.
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On the formal power series algebras generated by a vector space and a linear functional [PDF]
Journal of Hyperstructures, 2017 Let R be a vector space ( on C) and ϕ be an element of R∗ (the dual space of R), the product r · s = ϕ(r)s converts R into an associative algebra that we denote it by Rϕ.
A. R. Khoddami
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The Neutrosophic Regular and Most Important Properties that Bind Neutrosophic Ring Elements [PDF]
Neutrosophic Sets and Systems, 2023 This research has broadened the definition of the neutrosophic regular in neutrosophic rings, similar to what is known in classical rings. We have studied the properties of neutrosophic regular elements and the most important properties that link them to
Murhaf Riad Alabdullah
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NON-NILPOTENT GRAPH OF COMMUTATIVE RINGS [PDF]
Journal of Algebraic SystemsLet R be a commutative ring with unity. Let Nil(R) be the set of all nilpotent elements of R and Nil(R) = R \ Nil(R) be the set of all non-nilpotent elements of R. The non-nilpotent graph of R is a simple undirected graph GNN(R) with Nil(R) as vertex set
Hussain Mohammed Imdadul Hoque +3 more
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Mathematics, 2018 In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
Elaheh Mohammadzadeh, Rajab Ali Borzooei
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Nilpotent Orbits and Commutative Elements
Journal of Algebra, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, C.Kenneth, Stembridge, John R.
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Nilpotent elements in Banach algebras [PDF]
Proceedings of the American Mathematical Society, 1973 Let A \mathfrak {A} be an
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Holographic duals of 6d RG flows
Journal of High Energy Physics, 2019 A notable class of superconformal theories (SCFTs) in six dimensions is parameterized by an integer N , an ADE group G, and two nilpotent elements μ L,R in G. Nilpotent elements have a natural partial ordering, which has been conjectured to coincide with
G. Bruno De Luca +3 more
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On prime rings with commuting nilpotent elements [PDF]
Proceedings of the American Mathematical Society, 2009 Let R R be a prime ring in which the nilpotent elements commute. If
Chebotar, M. A. +2 more
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