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<p>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.</p>

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Representations of Lattice Multimorphisms and Weak Polymorphisms

  • 期刊论文

  • 发表日期：

    2026年1月29日

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  • Z. A. Kusraeva

摘要

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.