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- W1777887672 abstract "After a brief introduction of the basic properties of group rings, some famous theorems on traces of idempotent elements of group rings will be presented. Next we consider some famous conjectures stated by Irving Kaplansky, among them the zero-divisor conjecture. The conjecture asserts that if a group ring is constructed from a field (or an integral domain) and a torsion-free group, then it does not contain any non-trivial zero-divisors. Here we show how a confirmation of the conjecture for certain fields implies its validity for other fields." @default.
- W1777887672 created "2016-06-24" @default.
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- W1777887672 date "2014-01-01" @default.
- W1777887672 modified "2023-09-27" @default.
- W1777887672 title "Zero-divisors and idempotents in group rings" @default.
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