Results 21 to 30 of about 1,530 (213)
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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Nilpotent elements in Banach algebras [PDF]
Proceedings of the American Mathematical Society, 1973 Let A \mathfrak {A} be an
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On free subgroups of finite exponent in circle groups of free nilpotent algebras [PDF]
International Journal of Group Theory, 2019 Let $K$ be a commutative ring with identity and $N$ the free nilpotent $K$-algebra on a non-empty set $X$. Then $N$ is a group with respect to the circle composition. We prove that the subgroup generated by $X$ is relatively free in a suitable class
Juliane Hansmann
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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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AKCE International Journal of Graphs and Combinatorics, 2019 We consider the ring (integers modulo ) with the partial order ‘’ given by ‘ if either or ’. In this paper, we obtain necessary and sufficient conditions for the poset () to be a lattice.
A.S. Khairnar, B.N. Waphare
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The Source of Primeness of Rings
Journal of New Theory, 2022 In this study, we define a new concept, i.e., source of primeness of a ring $R$, as $P_{R} := \bigcap_{a\in R} S_{R}^{a}$ such that $S_{R}^{a}:=\{b\in R \mid aRb=(0)\}$.
Didem Karalarlıoğlu Camcı +1 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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A Note on Skew Generalized Power Serieswise Reversible Property
International Journal of Analysis and Applications, 2023 The aim of this paper is to introduce and study (S, ω)-nil-reversible rings wherein we call a ring R is (S, ω)-nil-reversible if the left and right annihilators of every nilpotent element of R are equal.
Eltiyeb Ali
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Engel BCI-algebras: an application of left and right commutators [PDF]
Mathematica Bohemica, 2021 We introduce Engel elements in a BCI-algebra by using left and right normed commutators, and some properties of these elements are studied. The notion of $n$-Engel BCI-algebra as a natural generalization of commutative BCI-algebras is introduced, and we ...
Ardavan Najafi, Arsham Borumand Saeid
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Logarithmic W-algebras and Argyres-Douglas theories at higher rank
Journal of High Energy Physics, 2018 Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and Tipunin and they are also obtained as modifications of semiclassical ...
Thomas Creutzig
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