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 SM ISO690:2012ATANI, Shahabaddin Ebrahimi, PISH HESARI, Saboura Dolati, KHORAMDEL, Mehdi. Zariski-topology for co-ideals of commutative semirings. In: Quasigroups and Related Systems, 2013, vol. 21, nr. 1(29), pp. 59-68. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 21, Numărul 1(29) / 2013 / ISSN 1561-2848 | ||||||
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| Pag. 59-68 | ||||||
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| Rezumat | ||||||
Let R be a semiring and co-spec(R) be the collection of all prime strong co-ideals of R. In this paper, we introduce and study a generalization of the Zariski topology of ideals in rings to co-ideals of semirings. We investigate the interplay between the algebraic-theoretic properties and the topological properties of co-spec(R). Semirings whose Zariski topology is respectively
T1, Hausdor or co nite are studied, and several characterizations of such semirings are given. |
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| Cuvinte-cheie Prime strong co-ideal, Zariski-topology for coideals, spectral space |
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