Results 211 to 220 of about 904 (238)

FINITE HIGHER COMMUTATORS IN ASSOCIATIVE RINGS

Bulletin of the Australian Mathematical Society, 2013
AbstractIf $T$ is any finite higher commutator in an associative ring $R$, for example, $T= [[R, R] , [R, R] ] $, and if $T$ has minimal cardinality so that the ideal generated by $T$ is infinite, then $T$ is in the centre of $R$ and ${T}^{2} = 0$. Also, if $T$ is any finite, higher commutator containing no nonzero nilpotent element then $T$ generates ...
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BALANCED UNITARY CAYLEY SIGRAPHS OVER FINITE COMMUTATIVE RINGS

Journal of Algebra and Its Applications, 2014
Let R be a finite commutative ring with identity 1. The unitary Cayley graph of R, denoted by GR, is the graph whose vertex set is R and the edge set {{a, b} : a, b ∈ R and a - b ∈ R×}, where R× is the group of units of R. We define the unitary Cayley signed graph (or unitary Cayley sigraph in short) to be an ordered pair 𝒮R = (GR, σ), where GR is the
Meemark, Yotsanan, Suntornpoch, Borworn
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The Square Mapping Graphs of Finite Commutative Rings

Algebra Colloquium, 2012
For a finite commutative ring R, the square mapping graph of R is a directed graph Γ(R) whose set of vertices is all the elements of R and for which there is a directed edge from a to b if and only if a2=b. We establish necessary and sufficient conditions for the existence of isolated fixed points, and the cycles with length greater than 1 in Γ(R). We
Wei, Yangjiang, Tang, Gaohua, Su, Huadong   +2 more
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On finiteness, commutativity, and periodicity in rings

2016
The authors give new proofs for two finiteness theorems for rings. The proof of the first theorem initially proved by \textit{M. S. Putcha} and \textit{A. Yaqub} [Int. J. Math. Math. Sci. 2, 121-126 (1979; Zbl 0413.16007)] is simpler, of the second initially proved by \textit{T. Szele} [Publ. Math.
Bell, Howard E., Klein, Abraham A.
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On some commutativity theorems for finite rings and finite groups

Czechoslovak Mathematical Journal, 2000
The relation between nilpotent elements in a ring and commutativity conditions in finite rings and finite groups is investigated.
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On the Representation of Finite Rings by Matrices over Commutative Rings

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gold-Catalyzed Synthesis of Small Rings

Chemical Reviews, 2021
Mauro Mato, Allegra Franchino, Antonio M Echavarren   +2 more
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Ruthenium-Catalyzed Cycloadditions to Form Five-, Six-, and Seven-Membered Rings

Chemical Reviews, 2021
Rosalie S Doerksen, Tomáš Hodík, William G Shuler   +2 more
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Facile access to fused 2D/3D rings via intermolecular cascade dearomative [2 + 2] cycloaddition/rearrangement reactions of quinolines with alkenes

Nature Catalysis, 2022
Shuming Chen, Peter Bellotti, Kendall N Houk   +2 more
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Cleavage of Carbon–Carbon σ-Bonds of Four-Membered Rings

Chemical Reviews, 2021
Masahiro Murakami, Naoki Ishida
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