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On extensions of ideals in posets |
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| Authors: | Radomír Halaš |
| Institution: | Department of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic |
| Abstract: | Two kinds of order ideals, namely, the n-prime ideals and k-closed ideals of a poset are introduced and shown to be equivalent in the sense that an order-ideal is (n+1)-prime if and only if it is n-closed. Also a prime radical theorem for these ideals is proved. |
| Keywords: | 06D6 |
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