Direct product decomposition of zero-product-associative rings without nilpotent elements
Alexander Abian (1978)
Colloquium Mathematicae
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Displaying similar documents to “Nilpotent Elements in Group Rings.”
Direct product decomposition of zero-product-associative rings without nilpotent elements
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Huanyin Chen, Marjan Sheibani, Nahid Ashrafi (2022)
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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).
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Robert L. Kruse, David P. Price (1970)
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Chong-Yun Chao (1968)
Mathematische Zeitschrift
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Rings without Nilpotent Elements
Alexander Abian (1975)
Matematický časopis
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A property of non excellent rings.
Ofer Gabber (1996)
Manuscripta mathematica
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David L. Johnson (1969)
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On the family relation for artinian rings
K. R. Pearson (1972)
Compositio Mathematica
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A class of counterexamples to the Cancellation Problem for arbitrary rings
Arno van den Essen, Peter van Rossum (2001)
Annales Polonici Mathematici
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We present a class of counterexamples to the Cancellation Problem over arbitrary commutative rings, using non-free stably free modules and locally nilpotent derivations.