| Autor: |
SHARIFI, V., HADJIREZAEI, S. |
| Předmět: |
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| Zdroj: |
Journal of Mahani Mathematical Research Center; 2024, Vol. 13 Issue 2, p263-273, 11p |
| Abstrakt: |
Let R be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Prfiufer domain. We prove that a nonzero ideal I of a Dedekind domain R is 2-prime if and only if I = P, for some maximal ideal P of R and positive integer . We give some results of ring R in which every ideal I is 2-prime. Finally, we define almost 2-prime, almost 2-primary and weakly 2-primary ideals, and investigate some properties of these ideals. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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