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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Monic and monic free ideals in a polynomial semiring


Author: Louis Dale
Journal: Proc. Amer. Math. Soc. 56 (1976), 45-50
MSC: Primary 16A78
MathSciNet review: 0404354
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Abstract: Two classes of ideals are introduced in a polynomial semiring $ S[x]$, where $ S$ is a commutative semiring with an identity. A structure theorem is given for each class.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0404354-8
PII: S 0002-9939(1976)0404354-8
Keywords: Strict semiring, monic ideals, monic free ideals, $ k$-ideals, coefficient ideals, monic closure, mixed ideals
Article copyright: © Copyright 1976 American Mathematical Society