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February 1, 2025Algebra and Logic

Lattice Definability of Finite Matrix Rings

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Key Points

Lattice definability emerges as a key feature of finite matrix rings, influencing their algebraic properties.
Key findings include results on definability under isomorphism, with implications for finite algebra classifications.
Analysis of algebraic structures reveals their categorization within quasi-varieties, expanding on existing theories.
This work underscores the necessity for further investigation into lattice properties of finite matrix rings.

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Implication

Explores lattice definability in matrix rings, indicating their significance in algebraic structures.

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Cite This Study

S. S. Korobkov (2025) studied this question.

synapsesocial.com/papers/69a75f71c6e9836116a2ad14 https://doi.org/10.1007/s10469-026-09808-6

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Keep reading

Synapse has enriched 4 related papers. Consider them for comparative context:

1Lattice definability of certain matrix ringsOriginal Research · 2016 · 3 citations
2Lattice isomorphisms of associative algebrasOriginal Research · 1966 · 18 citations
3Stable Varieties of Non-Associative AlgebrasAlgebra and Logic · 2025
4On Generic Complexity of Diophantine Problem in Parametric FormAlgebra and Logic · 2025

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