On maximal $k$-ideals of semirings
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- by M. K. Sen and M. R. Adhikari PDF
- Proc. Amer. Math. Soc. 118 (1993), 699-703 Request permission
Abstract:
For a semiring $S$ with commutative addition, conditions are considered such that $S$ has nontrivial $k$-ideals or maximal $k$-ideals, among others, by the help of the congruence class semiring $S/A$ defined by an ideal $A$ of $S$. Moreover, all maximal $k$-ideals of the semiring of nonnegative integers are described.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 699-703
- MSC: Primary 16Y60
- DOI: https://doi.org/10.1090/S0002-9939-1993-1132423-6
- MathSciNet review: 1132423