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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Ideal types in a polynomial halfring


Author: Louis Dale
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1979-0532133-2
Keywords: Semiring, halfring, ideal type, monotypic, k-ideal, weak k-ideal, k-closure
Article copyright: © Copyright 1979 American Mathematical Society

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