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Full-Text Articles in Algebra
On Lattices Of Z-Ideals Of Function Rings, Themba Dube, Oghenetega Ighedo
On Lattices Of Z-Ideals Of Function Rings, Themba Dube, Oghenetega Ighedo
Mathematics, Physics, and Computer Science Faculty Articles and Research
An ideal I of a ring A is a z-ideal if whenever a, b ∈ A belong to the same maximal ideals of A and a ∈ I, then b ∈ I as well. On the other hand, an ideal J of A is a d-ideal if Ann2(a) ⊆ J for every a ∈ J. It is known that the lattices Z(L) and D(L) of the ring 𝓡L of continuous real-valued functions on a frame L, consisting of z-ideals and d-ideals of 𝓡 …