A proper ideal $P$ of a ring $R$ is called \emph{2-prime} if for all $x, y \in R$ such that $xy\in P$, then either $x^2 \in P$ or $y^2 \in P$. In this paper, we introduce a Zariski topology on the set of all 2-prime ideals of commutative rings. We investigate this topology and clarify the interplay between the properties of this topological space and the algebraic properties of the ring under consideration.
Roshan Shekalgourabi, H., & Hassanzadeh Lelekaami, D. (2024). A Zariski-like topology on the 2-prime spectrum of commutative rings. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2024.26914.1640
MLA
H. Roshan Shekalgourabi; D. Hassanzadeh Lelekaami. "A Zariski-like topology on the 2-prime spectrum of commutative rings". Journal of Algebra and Related Topics, , , 2024, -. doi: 10.22124/jart.2024.26914.1640
HARVARD
Roshan Shekalgourabi, H., Hassanzadeh Lelekaami, D. (2024). 'A Zariski-like topology on the 2-prime spectrum of commutative rings', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2024.26914.1640
VANCOUVER
Roshan Shekalgourabi, H., Hassanzadeh Lelekaami, D. A Zariski-like topology on the 2-prime spectrum of commutative rings. Journal of Algebra and Related Topics, 2024; (): -. doi: 10.22124/jart.2024.26914.1640
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