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Liverpool John Moores University

Academic institutioneurope · gb
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Representative Papers

Irreducibility of Semigroup Morphisms

Mar 16, 2026

This study addresses the irreducibility of semigroup homomorphisms—specifically, whether a given homomorphism cannot be decomposed into a composition of two nontrivial homomorphisms. The paper presents the first formalization of this notion, establishing rigorous criteria and a theoretical framework for characterizing irreducible homomorphisms. By integrating techniques from algebraic structure analysis, formal language theory, and homomorphism decomposition, the work provides a systematic characterization of such irreducible mappings. This contribution not only fills a notable gap in the theory of semigroups concerning homomorphism decomposition but also offers novel perspectives and tools for automata theory and related algebraic problems.

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Latest Papers

Irreducibility of Semigroup Morphisms

Mar 16, 2026

This study addresses the irreducibility of semigroup homomorphisms—specifically, whether a given homomorphism cannot be decomposed into a composition of two nontrivial homomorphisms. The paper presents the first formalization of this notion, establishing rigorous criteria and a theoretical framework for characterizing irreducible homomorphisms. By integrating techniques from algebraic structure analysis, formal language theory, and homomorphism decomposition, the work provides a systematic characterization of such irreducible mappings. This contribution not only fills a notable gap in the theory of semigroups concerning homomorphism decomposition but also offers novel perspectives and tools for automata theory and related algebraic problems.

0 citationsRead paper