Results 161 to 170 of about 206 (186)
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Non-nilpotent graph of commutative rings
Summary: Let \(R\) be a commutative ring with unity. Let \(\operatorname{Nil}(R)\) be the set of all nilpotent elements of \(R\) and \(\operatorname{Nil}(R) = R \backslash \operatorname{Nil}(R)\) be the set of all non-nilpotent elements of \(R\). The non-nilpotent graph of \(R\) is a simple undirected graph \(G_{NN}(R)\) with \(\operatorname{Nil}(R ...Hoque, Hussain Mohammed Imdadul +3 more
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Nilpotent Principal Ideal Rings
Proceedings of the London Mathematical Society, 1970openaire +2 more sources
2000
Summary: We define the upper central chain of any ring and we connect it to the lower central chain. Moreover, we give a result on strongly Lie-nilpotent rings that is the analogue of a theorem of P. Hall for nilpotent groups.
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Summary: We define the upper central chain of any ring and we connect it to the lower central chain. Moreover, we give a result on strongly Lie-nilpotent rings that is the analogue of a theorem of P. Hall for nilpotent groups.
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Ruthenium-Catalyzed Cycloadditions to Form Five-, Six-, and Seven-Membered Rings
Chemical Reviews, 2021Rosalie S Doerksen +2 more
exaly
Biosynthesis and Metabolism of Cyclopropane Rings in Natural Compounds
Chemical Reviews, 2003Ludger A Wessjohann +2 more
exaly