March 3, 2026

Representations of Lattice Multimorphisms and Weak Polymorphisms

Key Points

Lattice homomorphisms serve as essential components to build nonlinear operators in vector lattices, indicating a significant finding.
Key evidence shows that these homomorphisms can generate both disjointness preserving multilinear operators and homogeneous polynomials.
This analysis focuses on investigating order bounded operators to understand their functional properties and interrelations.
Results highlight the foundational role of lattice homomorphisms, with potential applications in broader areas of functional analysis.

Abstract

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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Discussion

Authors

Z. A. Kusraeva

Journals

Siberian Mathematical Journal

Actions

Institutions

Southern Federal University

Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences"

Vladikavkaz Institute of Management

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Representations of Lattice Multimorphisms and Weak Polymorphisms

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study