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April 23, 2026Lobachevskii Journal of Mathematics0 citations

On Multiplicatively Idempotent Semirings with Additional Conditions

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EVE. M. Vechtomov

Key Points

  • This work aims to investigate the properties of multiplicatively idempotent semirings with further conditions.
  • Studied equalizing properties through theorems and propositions.
  • Provided examples and explanatory notes to clarify findings.
  • Identified significant equalizing properties in multiplicatively idempotent semirings.
  • Demonstrated how findings can apply to distributive lattices.

Abstract

The article studies multiplicatively idempotent semirings with additional conditions (annihilator condition, equalizing properties). For such semirings, the equalizing properties are studied (Theorems 1–3, Proposition 1). The results obtained can be applied to distributive lattices (Propositions 2–4). The work provides examples and explanatory notes.

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Cite This Study

E. M. Vechtomov (2025) studied this question.

synapsesocial.com/papers/69e9b71b85696592c86eb338https://doi.org/10.1134/s1995080225613761
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Also Consider

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  4. 4On the idempotent semirings such that 𝒟• is the least distributive lattice congruence2026
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