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On Multiplicatively Idempotent Semirings with Additional Conditions | Synapse

April 23, 2026

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On Multiplicatively Idempotent Semirings with Additional Conditions

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 (Mon,) studied this question.

synapsesocial.com/papers/69e9b71b85696592c86eb338 https://doi.org/https://doi.org/10.1134/s1995080225613761

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