Direct product decomposition of zero-product-associative rings without nilpotent elements
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Alexander Abian (1978)
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Chong-Yun Chao (1968)
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Alexander Abian (1975)
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Ofer Gabber (1996)
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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.
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Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.
Ralph Berr (1992)
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