Direct product decomposition of zero-product-associative rings without nilpotent elements
Alexander Abian (1978)
Colloquium Mathematicae
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Alexander Abian (1978)
Colloquium Mathematicae
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Huanyin Chen, Marjan Sheibani, Nahid Ashrafi (2022)
Czechoslovak Mathematical Journal
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We present new characterizations of the rings for which every element is a sum of two tripotents and a nilpotent that commute. These extend the results of Z. L. Ying, M. T. Koşan, Y. Zhou (2016) and Y. Zhou (2018).
Marek Karaś (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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We prove that every locally nilpotent monomial k-derivation of k[X₁,...,Xₙ] is triangular, whenever k is a ring of characteristic zero. A method of testing monomial k-derivations for local nilpotency is also presented.
Sudarshan K. Sehgal (1975)
Manuscripta mathematica
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Schneider, Csaba (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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K. R. Pearson (1972)
Compositio Mathematica
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Roberto J. F. de Morais (2000)
Czechoslovak Mathematical Journal
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Abu-Khuzam, Hazar, Yaqub, Adil (1983)
International Journal of Mathematics and Mathematical Sciences
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Alexander Abian (1975)
Matematický časopis
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E. Jespers, G. Leal (1995)
Manuscripta mathematica
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