Prime and semiprime semigroup algebras of cancellative semigroups
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- by M. V. Clase
- Trans. Amer. Math. Soc. 350 (1998), 1991-2007
- DOI: https://doi.org/10.1090/S0002-9947-98-01922-9
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Abstract:
Necessary and sufficient conditions are given for a semigroup algebra of a cancellative semigroup to be prime and semiprime. These conditions were proved necessary by Okniński; our contribution is to show that they are also sufficient. The techniques used in the proof are a new variation on the $\Delta$-methods which were developed originally for group algebras.References
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Bibliographic Information
- M. V. Clase
- Affiliation: 86 Herkimer St., Apt. A, Hamilton, Ontario, Canada L8P 2G7
- Address at time of publication: Andyne Computing Ltd., 1 Research Drive, Dartmouth, Nova Scotia, B2Y 4M9 Canada
- Email: michael.clase@ns.sympatico.ca
- Received by editor(s): November 17, 1995
- Received by editor(s) in revised form: August 1, 1996
- Additional Notes: This work was completed while the author held an NSERC Postdoctoral Fellowship at McMaster University, Hamilton, Canada.
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 1991-2007
- MSC (1991): Primary 16S36; Secondary 16N60, 20M25
- DOI: https://doi.org/10.1090/S0002-9947-98-01922-9
- MathSciNet review: 1422893