Results 21 to 30 of about 40,826 (196)
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 divisible weighted Dynkin diagrams and reachable elements [PDF]
, 2010 Let D(e) denote the weighted Dynkin diagram of a nilpotent element $e$ in complex simple Lie algebra $\g$. We say that D(e) is divisible if D(e)/2 is again a weighted Dynkin diagram.
AG Elashvili +6 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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Augmented Superfield Approach To Unique Nilpotent Symmetries For Complex Scalar Fields In QED [PDF]
, 2005 The derivation of the exact and unique nilpotent Becchi-Rouet-Stora-Tyutin (BRST)- and anti-BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been a long-standing problem in the framework of superfield approach
D.S. Hwang +34 more
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Nilpotent elements in Banach algebras [PDF]
Proceedings of the American Mathematical Society, 1973 Let A \mathfrak {A} be an A ∗ {A^\ast } -algebra such that any maximal abelian ∗ ^\ast -subalgebra is regular and such that any quasinilpotent element x in A \mathfrak {A} satisfies
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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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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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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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B-Fredholm elements in primitive C*-algebras
Open Mathematics, 2022 Let A{\mathcal{A}} be a unital primitive C∗\ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A{\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the
Kong Yingying, Jiang Lining
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