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- W2023672056 abstract "A band is a semigroup in which every element is idempotent. In this note we give an explicit description of the Jacobson radical of the semigroup ring of a band over a ring with unity. It is shown, further, that this radical is nil if and only if the Jacobson radical of the coefficient ring is nil. For the particular case of a normal band (see below for the definition) the Jacobson radical of the band ring is nilpotent if and only if the Jacobson radical of the coefficient ring is nilpotent; but this result does not extend to arbitrary bands." @default.
- W2023672056 created "2016-06-24" @default.
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- W2023672056 date "1989-03-01" @default.
- W2023672056 modified "2023-10-18" @default.
- W2023672056 title "The Jacobson radical of a band ring" @default.
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- W2023672056 doi "https://doi.org/10.1017/s0305004100067761" @default.
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