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- W2056152809 abstract "The Jacobson radical J ( K [ S ]) of the semigroup ring K [ S ] of a cancellative semigroup S over a field K is studied. We show that, if J ( K [ S ]) ≠ 0, then either S is a reversive semigroup or K [ S ] has many nilpotents and J ( K [ P ]) ≠ 0 for a reversive subsemigroup P of S . This is used to prove that J ( K [ S ]) = 0 for every unique product. semigroup S ." @default.
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- W2056152809 date "1994-02-01" @default.
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- W2056152809 title "Algebras of cancellative semigroups" @default.
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- W2056152809 doi "https://doi.org/10.1017/s000497270001621x" @default.
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