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Stereoselective synthesis of tetra- and tri-substituted alkenyl nitriles via aminative ring-opening of cyclopropenes with iron-aminyl radical [PDF]
Nature CommunicationsThe ring opening of cyclopropenes provides a compelling platform for the rapid synthesis of various polysubstituted acyclic alkenes. However, radical-mediated reactions of this type remain underexplored, and none of the existing methods have successfully
Qian Wang +4 more
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The Radical of a Non-Associative Ring [PDF]
Proceedings of the American Mathematical Society, 1950 In this paper a definition is proposed for the radical of a non-associative ring. Our results are somewhat similar to those given for algebras by Albert in [3],1 but the difficulties that arose in the earlier theory from absolute divisors of zero have been overcome. With slight modifications, the present proofs are applicable to algebras.
W. E. Jenner
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Radicals of semigroup rings [PDF]
Glasgow Mathematical Journal, 1969 Let denote the contracted semigroup ring of the ompletely 0-simple semigroup D over the ring R. The Rees structure theory of completely 0-simple semigroups is used to obtain necessary and sufficient conditions that have zero radical (Theorem 3.8).
Julian Weissglass
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On the radical of a general ring [PDF]
Bulletin of the American Mathematical Society, 1943 Jakob Levitzki
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On the Theory of Radicals in a Ring [PDF]
Journal of the Mathematical Society of Japan, 1951 Masayoshi Nagata
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Radical Extensions of Rings [PDF]
Proceedings of the American Mathematical Society, 1961 Carl Faith
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On the zeroid radical of a ring
Indagationes Mathematicae (Proceedings), 1959 L. V. Leeuwen
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Symmetry, 2022 The nature of universe problems is ambiguous due to the presence of asymmetric data in almost all disciplines, including engineering, mathematics, medical sciences, physics, computer science, operations research, artificial intelligence, and management ...
K. Porselvi +3 more
semanticscholar +1 more source
Generalizations of $ss$-supplemented modules
Karpatsʹkì Matematičnì Publìkacìï, 2021 We introduce the concept of (strongly) $ss$-radical supplemented modules. We prove that if a submodule $N$ of $M$ is strongly $ss$-radical supplemented and $Rad(M/N)=M/N$, then $M$ is strongly $ss$-radical supplemented.
I. Soydan, E. Türkmen
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