Our aim in this article is to study algebraically and geometrically closed structures in a commutative ring with unity R. It is proved that the lattice of idempotents E of R is an algebraically closed lattice. We also show that if E is dense-in-itself, then E* is geometrically closed in Mod(T, A ). Finally, the relationship between an equicharacteristic regular local ring and an algebraically closed residue field is considered.
Molkhasi, A. (2025). Algebraically and geometrically closed of idempotents. Journal of Discrete Mathematics and Its Applications, 10(3), 283-291. doi: 10.22061/jdma.2025.11872.1125
MLA
Molkhasi, A. . "Algebraically and geometrically closed of idempotents", Journal of Discrete Mathematics and Its Applications, 10, 3, 2025, 283-291. doi: 10.22061/jdma.2025.11872.1125
HARVARD
Molkhasi, A. (2025). 'Algebraically and geometrically closed of idempotents', Journal of Discrete Mathematics and Its Applications, 10(3), pp. 283-291. doi: 10.22061/jdma.2025.11872.1125
CHICAGO
A. Molkhasi, "Algebraically and geometrically closed of idempotents," Journal of Discrete Mathematics and Its Applications, 10 3 (2025): 283-291, doi: 10.22061/jdma.2025.11872.1125
VANCOUVER
Molkhasi, A. Algebraically and geometrically closed of idempotents. Journal of Discrete Mathematics and Its Applications, 2025; 10(3): 283-291. doi: 10.22061/jdma.2025.11872.1125
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