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Analysis demonstrates the role of lattice homomorphisms in nonlinear operators in vector lattices, suggesting their foundational importance.
The paper aims to show that lattice homomorphisms serve as building blocks for two classes of nonlinear operators acting in vector lattices, namely, order bounded disjointness preserving multilinear operators and order bounded homogeneous polynomials whose generating multilinear operators preserve disjointness.
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Z. A. Kusraeva (2026) studied this question.
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