On the family relation for artinian rings
K. R. Pearson (1972)
Compositio Mathematica
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K. R. Pearson (1972)
Compositio Mathematica
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Moore, H.G., Yaqub, Adil (1970)
Portugaliae mathematica
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Abu-Khuzam, Hazar, Yaqub, Adil (1983)
International Journal of Mathematics and Mathematical Sciences
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Peter Vassilev Danchev (2012)
Commentationes Mathematicae Universitatis Carolinae
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Suppose is a commutative unital ring and is an abelian group. We give a general criterion only in terms of and when all normalized units in the commutative group ring are -nilpotent. This extends recent results published in [Extracta Math., 2008–2009] and [Ann. Sci. Math. Québec, 2009].
Bell, Howard E., Klein, Abraham A. (2002)
International Journal of Mathematics and Mathematical Sciences
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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).
Abujabal, H.A.S., Khan, M.A. (1992)
International Journal of Mathematics and Mathematical Sciences
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