Nilpotent Elements in Group Rings.
Sudarshan K. Sehgal (1975)
Manuscripta mathematica
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Sudarshan K. Sehgal (1975)
Manuscripta mathematica
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Alexander Abian (1978)
Colloquium Mathematicae
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Robert L. Kruse, David P. Price (1970)
Mathematische Zeitschrift
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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).
James R. Clay (1968)
Mathematische Zeitschrift
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Eric Jespers, Guilherme Leal (1993)
Manuscripta mathematica
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Sadayoshi Kojima (1983)
Commentarii mathematici Helvetici
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Bondarko, M.V., Vostokov, S.V., Lorenz, F. (2004)
Zapiski Nauchnykh Seminarov POMI
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Gary Birkenmeier, Henry Heatherly (1990)
Monatshefte für Mathematik
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Schneider, Csaba (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Beidar, K.I. (1997)
Beiträge zur Algebra und Geometrie
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Karel Dekimpe (2003)
Fundamenta Mathematicae
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In [3], the authors initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. In this paper, we use this approach for some special classes of crystallographic groups. For a first class of groups we obtain a normal complement for the group inside the group of normalized units. For a second class of groups we show that the Zassenhaus conjectures ZC1 and ZC3 are valid. This generalizes the results known for the...
James R. Clay, Donna K. Doi (1968)
Mathematica Scandinavica
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James R. Clay, Joseph J., Jr. Malone (1966)
Mathematica Scandinavica
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Joaquim Bruna, Warren Dicks (1992)
Publicacions Matemàtiques
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Pere Menal, Professor of Algebra at the Universitat Autònoma de Barcelona, died in a traffic accident on April 4th, 1991. His colleagues in the Mathematics Department of the UAB strongly felt the need to pay a tribute to his memory, and decided then to dedicate this, the Autumn 1992 issue of the departmental journal, to his memory.