Ideal types in a polynomial halfring
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- by Louis Dale PDF
- Proc. Amer. Math. Soc. 75 (1979), 189-195 Request permission
Abstract:
Ideal types are used to classify ideals in a polynomial halfring and to determine when an ideal behaves like a k-ideal. In particular, these results are used to classify all ideals in the ring of polynomials over the integers.References
- Louis Dale, The $k$-closure of monic and monic free ideals in a polynomial semiring, Proc. Amer. Math. Soc. 64 (1977), no. 2, 219–226. MR 444717, DOI 10.1090/S0002-9939-1977-0444717-9
- Louis Dale, Monic and monic free ideals in a polynomial semiring, Proc. Amer. Math. Soc. 56 (1976), 45–50. MR 404354, DOI 10.1090/S0002-9939-1976-0404354-8
- Paul J. Allen and Louis Dale, Ideal theory in the semiring $Z^{+}$, Publ. Math. Debrecen 22 (1975), no. 3-4, 219–224. MR 404352
- H. E. Stone, Ideals in halfrings, Proc. Amer. Math. Soc. 33 (1972), 8–14. MR 291228, DOI 10.1090/S0002-9939-1972-0291228-5
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 189-195
- MSC: Primary 16A78
- DOI: https://doi.org/10.1090/S0002-9939-1979-0532133-2
- MathSciNet review: 532133